NCERT Class XI Mathematics - Sequences and Series - Solutions

Question : 35

Total: 106

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

Solution:

We have a8 = 192, r = 2
∴ a8 = ar7 ⇒ a(2)7 = 192 ⇒ a =

192

Now, a12 = ar11 =

×211 = 3072

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