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 The 5th  and 11th  terms of an H.P are 145 and 169 respectively, then find 16th term

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a
185
b
187
c
189
d
191

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detailed solution

Correct option is C

The 5th and 11th terms of the corresponding A.P. are 45and 69 respectively. Let a be the first term and d be the common differenceof the  corresponding A.P then, 5th term =a+4d=45…. (i)  and 11th term = a+10d=69….. (ii) Solving   equations   (i) and (ii), we get a=29, d=4  the 16th term of  the A.P=a+15d=29+15(4)=89Hence, the 16th term  of the H.P = 189


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