If 7th and 13th terms of an A.P. be 34 and 64 respectively, then its 18th term is

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Solution

The correct option is C
89

$a_{7} = 34$

$\Rightarrow a + 6 d = 34$ .... (1)

Also, $a_{13} = 64$

$\Rightarrow a + 12 d = 64$ .... (2)

Solving equations (1) and (2), we get

a = 4 and d = 5

$∴ a_{18} = a + 17 d$

= 4 + 17 (5)

= 89

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