NCERT Class XI Mathematics - Sequences and Series - Solutions
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Question : 37
Total: 106
The 4th term of a G.P. is square of its second term, and the first term is – 3. Determine its 7th term.
Solution:
We have a = – 3, a 4 = ( a 2 ) 2
⇒a r 3 = ( a r ) 2 ⇒ a r 3 = a 2 r 2 ⇒ r = a = – 3 (Since a = – 3)
∴a 7 = a r 6 = – 3 ( – 3 ) 6 = –2187
⇒
∴
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