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Question

Find the number of terms of the given AP:
7,13,19....,205


A

34,27

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B

26,35

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C

27,34

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D

35,26

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Solution

The correct option is A

34,27


Formula to find nth term of arithmetic progression is

tn=a1+(n1)d

where,

'a1' is the first term,

'd' is the common difference,

'n' is the number of terms,

'tn' is the nth term.

Given, a1=7 , a2=13, tn=205

d = a2 - a1 = 13 - 7 = 6

Substituting the values in the formula tn=a+(n1)d to find nth term of arithmetic progression, we get

205=7+(n1)6
205=6n+1

204=6n

n=2046=34

Therefore, there are 34 terms in the given arithmetic progression.


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