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Question

Find the number of terms in each of the following AP's
7,13,19,....205

A
20 terms
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B
28 terms
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C
34 terms
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D
40 terms
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Solution

The correct option is C 34 terms
Clearly, the given Sequence is an AP with first term a=7 and common difference d=137=6.
Let 205 be the nth term of the given AP.
an=205
a+(n1)d=205
7+(n1)×6=205
(n1)×6=198
n=34
Hence, there are 34 terms in the given AP.

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