Question
Download Solution PDFThe 5th and the 17th terms of an A.P. series are 52 and 184 respectively. Find the common difference of the series.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
5th = 52
11th = 184
Formula used:
an = a1 + (n - 1) × d
an = nth number
a1 = 1st number in series
d = difference in number
Calculation:
According to question:
⇒ a1 + (5 - 1) d = 52
⇒ a1 + (17 - 1) d = 184
⇒ a1 + 4d = 52 ---(i)
⇒ a1 + 16d = 184 ---(ii)
On equating both the equation we get
⇒ d = 11
∴ required common difference = 11Last updated on Jul 9, 2025
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