Question

find a, b and c such that the following numbers are in ap : a, 7,b,23,c.
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Answer 1

What effect did the music have on the poet

Answer 2

Answer:

Annyeong Army!

Hope this helps you :)

Step-by-step explanation:

For a, 7, b, 23, c… to be in AP it should satisfy the condition,

a5 - a4 = a4 - a3 = a3 - a2 = a2 - a1 = d

Where d is the common difference

7 - a = b - 7 = 23 - b = c - 23 …(1)

By equating,

b - 7 = 23 - b

2b = 30

b = 15 (equation 1)

And,

7 - a = b - 7

Substituting b value in equation 1

7 - a = 15 - 7

a = - 1

So we get,

c - 23 = 23 - b

c - 23 = 23 - 15

c - 23 = 8

c = 31

Here a = - 1

b = 15

c = 31

Therefore, the sequence - 1, 7, 15, 23, 31 is an AP.

Borahae!