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2 years ago

The 3rd term of an arithinetic progression is-9

Mathematics

1 answer:

padilas [110]2 years ago

6 0

Answer:

-64

Step-by-step explanation:

The computation of the 10th term of the progression is shown below:

The 3rd term is -9

A_n = a + (n - 1)d

-9 = a + (3 - 1)d

-9 = a + 2d

-9 - 2d = a

Now the 7th term is -29

A_n = a + (n - 1)d

-29 = a + (7 - 1)d

-29 = a + 6d

Put the a value to the above equation

-29 = -9 - 2d + 6d

-29 + 9 = 4d

-20 = 4d

d = -5

Now

-9 - 2d = a

-9 - 2(-5) = a

-9 - 10 = a

a = -19

Now finally the 10th term of the progression is

= a + (n - 1)d

= -19 + (10- 1)-5

= -19 -45

= -64

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5. y is directly proportional to x. If y = 20 when x = 2.5, find y when x=3

nignag [31]

Answer:

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2 years ago

What is the smallest 6 digit palindrome that is divisible by 99

Scorpion4ik [409]

Answer:

108801

Step-by-step explanation:

6-digit palindrome is the number n the form of:

xyzzyx

This is divisible by 11 by default as the sum of the digits in odd placed is same as sum of the number in even places (remember the divisibility rule by 11):

x + z + y = y + z + x

Now, in order to be divisible by 99, the number must be divisible by 11 and 9.

According to divisibility rule by 9 the sum of all digits must be divisible by 9. You can see In our case we need to have (the minimum):

x + y + z = 9

The smallest number we could get is when x is minimum, y is minimum, so:

x = 1, y = 0, then y = 8

The number we get is:

108801

Proof:

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4 0

2 years ago

Read 2 more answers

What is the slope of a linear function that passes between (2, 7) and (5, 12)?

Grace [21]

The formula of slope,

→ (y2 - y1)/(x2 - x1)

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→ m = (12 - 7)/(5 - 2)

→ [ m = 5/3 ]

Hence, thy slope is 5/3.

4 0

9 months ago

Me ajuda ai por favor tenho que entregar amanhã

elena-14-01-66 [18.8K]

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6 0

2 years ago

In which direction does the right side of this graph point? F(x)= -x^4-x^3+4x-2

suter [353]

Answer: Down

Step-by-step explanation:

We know that the graph of y = x 4 has both arms pointing up.

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2 years ago