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3 years ago

The arithmetic sequence a; is defined by the formula:

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

6 0

Answer:

The sum of the first 650 terms of the given arithmetic sequence is 2,322,775

Step-by-step explanation:

The first term here is 4

while the nth term would be ai = a(i-1) + 11

Kindly note that i and 1 are subscript of a

Mathematically, the sum of n terms of an arithmetic sequence can be calculated using the formula

Sn = n/2[2a + (n-1)d)

Here, our n is 650, a is 4, d is the difference between two successive terms which is 11.

Plugging these values, we have

Sn = (650/2) (2(4) + (650-1)11)

Sn = 325(8 + 7,139)

Sn = 325(7,147)

Sn = 2,322,775

You might be interested in

If collecte 63 cans which is 21%. How many cans are 46%. And how many is 33% ?

EleoNora [17]

If 63 cand are 21% we must find out what 1% is
To do that we must divide 63 by 21
63/21 = 3
So 1%=3 cans
To find out what a percentage equals we must times it by 3
46 * 3 =138 cans
33*3 = 99 cans
Hope this helps :)

7 0

3 years ago

Add 3 feet 6 inches+8 feet 2 inches+4 inches+2 feet 5 inches. 4. In a grocery store, steak costs $3.85 per pound. If you buy a t

AnnZ [28]

Answer:

The sum of the measurement is 14 feet 5 inches.

Hence, you will get the change of $8.45

The required sum is 46 minutes 5 seconds.

Step-by-step explanation:

Consider the provided information.

Add 3 feet 6 inches+8 feet 2 inches+4 inches+2 feet 5 inches.

In order to add the measurement add inches with inches and feet with feet as shown.

3 feet + 8 feet + 2 feet and 6 inches + 2 inches + 4 inches + 5 inches.

13 feet 17 inches

As we know 1 feet = 12 inches

Thus 17 inches can be written as: 1 feet 5 inches

Hence, 13 feet 17 inches = 14 feet 5 inches

The sum of the measurement is 14 feet 5 inches.

Part (B) In a grocery store, steak costs $3.85 per pound. If you buy a three-pound steak and pay for it with a $20 bill, how much change will you get?

Steak costs $3.85 per pound and you buy a three pound steak.

So, the cost will be:

$3.85×3=$11.55

You pay $20 so the change you will get is:

$20-$11.55=$8.45

Hence, you will get the change of $8.45

Part (C) Add 8 minutes 32 seconds+37 minutes 18 seconds+15 seconds.

In order to add the time add minutes with minutes and seconds with seconds as shown.

8 minutes+37 minutes and 32 seconds+ 18 seconds+15 seconds.

45 minutes 65 seconds

As we know 1 minute = 60 seconds

Thus 65 seconds can be written as: 1 minute 5 seconds

Hence, 45 minutes 65 seconds = 46 minutes 5 seconds

The required sum is 46 minutes 5 seconds.

6 0

3 years ago

SOOO this jejwijsnxnJjxnndjjs

Tcecarenko [31]

Answer:

Step A) 250 times 3 months + 500 cause you already have that in your bank account= 1250

Step B) 12+12=24 so 250 times 24=6000+ 500 cause you already have that in your bank account= 6500

Step C) 8,300- 6500= 1800 then, 250 time 5 + 500= 1750, and 250 times 6 = 1500+500=2000 so you can go with whatever.

Step D) 3 years= 36 months so 250 times 36 months= 9000 so in three yrs you should have about 9500 bc you need to add the 500 on again. sry I could not do the graph but I hoped I helped. :)

Step-by-step explanation:

8 0

3 years ago

Answer the following question and will mark Brainliest

spin [16.1K]

a) f(4) = 3*4 - 4

= 8

b) h(-3) = 5 - ( - 3)

= 5 + 3 = 8

c) h(4) - f(-5) = 1 + ( -19)

= -18

have a nice day <3

7 0

3 years ago

Let X be the temperature in at which a certain chemical reaction takes place, and let Y be the temperature in (so Y = 1.8X + 32)

Black_prince [1.1K]

Answer:

See explanation

Step-by-step explanation:

Solution:-

The random variable, Y be the temperature of chemical reaction in degree fahrenheit be a linear expression of a random variable X : The temperature in at which a certain chemical reaction takes place.

Y = 1.8*X + 32

- The median of the random variate "X" is given to be equal to "η". We can mathematically express it as:

P ( X ≤ η ) = 0.5

- Then the median of "Y" distribution can be expressed with the help of the relation given:

P ( Y ≤ 1.8*η + 32 )

- The left hand side of the inequality can be replaced by the linear relation:

P ( 1.8*X + 32 ≤ 1.8*η + 32 )

P ( 1.8*X ≤ 1.8*η ) ..... Cancel "1.8" on both sides.

P ( X ≤ η ) = 0.5 ...... Proven

Hence,

- Through conjecture we proved that: (1.8*η + 32) has to be the median of distribution "Y".

- Recall that the definition of proportion (p) of distribution that lie within the 90th percentile. It can be mathematically expressed as the probability of random variate "X" at 90th percentile :

P ( X ≤ p_.9 ) = 0.9 ..... 90th percentile

- Now use the conjecture given as a linear expression random variate "Y",

P ( Y ≤ 1.8*p_0.9 + 32 ) = P ( 1.8*X + 32 ≤ 1.8*p_0.9 + 32 )

= P ( 1.8*X ≤ 1.8*p_0.9 )

= P ( X ≤ p_0.9 )

= 0.9

- So from conjecture we saw that the 90th percentile of "X" distribution is also the 90th percentile of "Y" distribution.

- The more general relation between two random variate "Y" and "X" is given:

Y = aX + b

Where, a : is either a positive or negative constant.

- Denote, (np) as the 100th percentile of the X distribution, so the corresponding 100th percentile of the Y distribution would be : (a*np + b).

- When a is positive,

P ( Y ≤ a*p_% + b ) = P ( a*X + b ≤ a*p_% + b )

= P ( a*X ≤ a*p_% )

= P ( X ≤ p_% )

= np_%

- When a is negative,

P ( Y ≤ a*p_% + b ) = P ( a*X + b ≤ a*p_% + b )

= P ( a*X ≤ a*p_% )

= P ( X ≥ p_% )

= 1 - np_%

4 0

3 years ago