Question
Download Solution PDFHow many terms are there in the following series?
201, 208, 215, _____ 369
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The series is 201, 208, 215, ..., 369
Formula used:
For an arithmetic progression, the nth term is given by: l = a + (n - 1)d
Where: l = last term, a = first term, n = number of terms and d = common difference
Calculations:
First term (a) = 201 and Common difference (d) = 208 - 201 = 7
Last term (l) = 369
369 = 201 + (n - 1)7
⇒ 369 - 201 = (n - 1)7
⇒ 168 = (n - 1)7
⇒ 168/7 = n - 1
⇒ 24 = n - 1
⇒ n = 24 + 1 = 25
∴ There are 25 terms in the given series.
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