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Class 11
Mathematics
Sequence and Series
find the 12th nbsp term of a g p whose 8th nbsp t...

Question:
Find the 12th term of a G.P. whose 8th term is 192 and the common ratio is 2.

Answer:

Common ratio, r = 2

Let a be the first term of the G.P.

∴ a⁸ = ar ^8–1 = ar⁷

⇒ ar⁷ = 192

a(2)⁷ = 192

a(2)⁷ = (2)⁶ (3)

$rightwards double arrow a equals fraction numerator open parentheses 2 close parentheses to the power of 6 cross times 3 space over denominator open parentheses 2 close parentheses to the power of 7 end fraction equals 3 over 2 s o a subscript 12 space equals a r to the power of 12 minus 1 end exponent space equals space open parentheses 3 over 2 close parentheses open parentheses 2 close parentheses to the power of 11 equals open parentheses 3 close parentheses open parentheses 2 close parentheses to the power of 10 equals 3072$

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Question:
Find the 12th term of a G.P. whose 8th term is 192 and the common ratio is 2.

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Question: Find the 12th term of a G.P. whose 8th term is 192 and the common ratio is 2.

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Question:
Find the 12th term of a G.P. whose 8th term is 192 and the common ratio is 2.