If the $7^{t h}$ and $13^{t h}$ terms of an AP are 34 and 64 respectively, then its $18^{t h}$ term would be ___

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Solution

The correct option is C 89
$a_{n} = a + (n - 1) d a + 6 d = 34 - - - (1) a + 12 d = 64 - - - (2) S o l v i n g (1) a n d (2), a = 4 a n d d = 5 a_{18} = 4 + (17) 5 = 89$

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Similar questions

If the $7^{t h}$ and $13^{t h}$ terms of an AP are 34 and 64 respectively, then its $18^{t h}$ term would be ____

If $7^{t h}$ and $13^{t h}$ terms of an AP be 34 and 64, then its $18^{t h}$ term is :

7^{th}

13^{th}

18^{th}

If the $7^{t h}$ and $13^{t h}$ terms of an AP are 34 and 64 respectively, then the $18^{t h}$ term of the AP would be ___.

7 t h

13 t h

A . P

34

64

18 t h

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