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Question
Which term of A.P. 7 + 10 + 13 + .... is 109?
Options
34th
35th
36th
37th
MCQ
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Solution
35th
Explanation:
a = 7
d = 10 − 7
= 3
an = 109
an = a + (n − 1)d
109 = 7 + (n − 1)3
109 − 7 = (n − 1)3
102 = (n − 1)3
`102/3` = (n − 1)
34 = n − 1
34 + 1 = n
n = 35
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