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Determine the A.P. whose fifth term is 5 and seventh term is 9

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Determine the A.P. whose fifth term is $5$ and seventh term is $9$ .

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Determine the A.P. whose fifth term is

5

and seventh term is

9

15 mins ago

Discuss this question LIVE

15 mins ago

Text solutionVerified

Formula,

T_{n} = a + (n - 1) d

T_{5} = a + (5 - 1) d = a + 4 d = 5

.....(1)

T_{7} = a + (7 - 1) d = a + 6 d = 9

......(2)

(2)-(1) gives

d = 2

substitute the value of d in equation (1), we get,

a = 5 - 4 \times 2 = - 3

The A.P series is

- 3, - 1, 1, 3, .....

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Question Text	Determine the A.P. whose fifth term is $5$ and seventh term is $9$ .
Answer Type	Text solution:1
Upvotes	150