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RUDIKE [14]
3 years ago
6

6) Find the sum of the positive terms of the arithmetic sequence 85, 78, 71, ... 1

Mathematics
1 answer:
Vinil7 [7]3 years ago
7 0

Answer:a=first term

d=common difference

here,a=85,d=-7

tn=a+(n-1)d

tn=85+(n-1)-7

tn=85+(7n+7)

92-7n=0

7n=92

n=92/7

n=13.14

n=13

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

sn=13/2(2*85+(13-1)(-7)

sn=(170+(12*-7)

sn=170-84

sn=13/2*86

sn=559

Step-by-step explanation:looks like it is 7 minus previous number. So, unfortunately 7 does not divide into 85 nicely. 7*12 = 84. So, how every many numbers there are — does it stop at positive numbers only? If not, then it is negative infinity… .

85+78+71+64+57+50+43+36+29+22+15+8+1 = 559

p.s. I tried to be clever with summations (there are 13 numbers) and ran into trouble. Probably the ‘1’ at the end or the 85 at the beginning ... … 7*(summation of 1 to 13) plus an offset to account for the not divisible by 12 exactly. Didn’t work, and it was easier to just do the subtractions and add them together.

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The numbers -12, -7, -2, 3, ... follow a pattern. What are the next three numbers in this pattern?
liq [111]

Answer:

8, 13, 18

Step-by-step explanation:

Its adding 5 each time so it ends up at positive values all the way up to 18

5 0
3 years ago
What is the volume of the prism? enter your awnser in the box as a mixed number in simplist form​
liberstina [14]

Answer:

67 1/2 is a mixed number

Step-by-step explanation:

The volume of a prism, is the area of the cross section X the length:

In this case it is base × height × length:

6 × 4.5 × 2.5 = 67.5cm^3

= 67 1 / 2 as a mixed number

4 0
2 years ago
Domain and range of graph need ASAP
Lostsunrise [7]

Answer:

Domain: -6 \leq x \leq 3

Range: -3 \leq x \leq 6

Step-by-step explanation:

The domain is the set of real values which can be inputted into a function and produce a real output. In this case, the domain is the following: -6 \leq x \leq 3, because this is the set of real values for which the function will produce a real output.

The range is the set of real values which a function outputs when a value from the domain is entered into the function. This is the set of y-values that one can see on the graph, the possible y-values are in between (-3) and (6).

6 0
2 years ago
Work out 114 % of 818.07 kg Give your answer rounded to 2 DP.
pshichka [43]

Answer:

932.60 kg

Step-by-step explanation:

To find a percent of a number, change the percent to a decimal and multiply by the number.

114% of 818.07 kg =

= 114% * 818.07 kg

= 114/100 * 818.07 kg

= 1.14 * 818.07 kg

= 932.60 kg

7 0
2 years ago
Gina wants to ship 3 books that weigh 2 7/16 pounds, 1 7/8 pounds and 1/2 pound. the maximum weight she can ship is 6 pounds. ho
pshichka [43]
You have to find a common denominator 1st then add. So 16 is the common denominator the problem should be 2 7/16+1 14/16+8-16= 3 29/16 then you need to divide 29/16 you will have 4 13/16
6 0
3 years ago
Read 2 more answers
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