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Find the 12^{th} term from the end of the AP: 2, 4, 6,..., 100

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Find the $1 2^{t h}$ term from the end of the AP: 2, 4, 6,..., 100.

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Find the

1 2^{t h}

term from the end of the AP: 2, 4, 6,..., 100.

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Text solutionVerified

We have to find out the 12th term of an AP from the end.

So, we have to assume that the last term is the first term and the last term in this AP is -100.

let the first term be 100 and

d = - 2

a_{12} = a + (n - 1) d

= 100 + (12 - 1) (- 2)

= (100 - 11 \times 2)

= 100 - 22

= 78

So, the 12th term of the AP from the end will be 78

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Question Text	Find the $1 2^{t h}$ term from the end of the AP: 2, 4, 6,..., 100.
Answer Type	Text solution:1
Upvotes	150