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, a4 = (a2)2
ar3 = (ar)2ar3 = a2r2 ⇒ r = a = – 3 (Since a = – 3)
a7 = ar6 = – 3 (3)6 = –2187
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