Question

Determine the Ap. whose 3rd term is 5 and 7th term is 9
answer this soon with explantion....... ​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Let a and d be the first term and common difference of an AP

It is given that, third term a3 = 5 and seventh term a7 = 9.

Therefore,

a + 2d = 5 ... (i)

a + 6d = 9 ... (ii)

Subtracting (i) from (ii), we have

4d = 4

d = 1

Substituting in (i), we have

a + 2(1) = 5

a = 3

The AP will be a, a+d, a+2d, a+3d, ...

Hence, the required AP is 3, 4, 5, 6, 7, ......

Hope it helps.

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