Question
Download Solution PDF\(\sqrt2,\sqrt8,\sqrt{18},\sqrt{32}\)....is An A.P. series. Find the common difference,
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
√2, √8, √(18), √(32).... is an A.P. series.
Formula used:
For an A.P. series, the common difference (d) is given by:
d = an - an-1
Calculations:
First term (a1) = √2
Second term (a2) = √8
Third term (a3) = √18
Fourth term (a4) = √32
To find the common difference (d):
d = a2 - a1
⇒ d = √8 - √2
⇒ d = 2√2 - √2
⇒ d = (2 - 1)√2
⇒ d = 1√2
⇒ d = √2
∴ The correct answer is option (4).
Last updated on Mar 21, 2025
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