CBSE Class 11-science Answered
The sum of first two terms of GP is-1/64 and sum of first three terms is 3/64. What is the seventh term
Asked by kashishgarg2003 | 06 Jan, 2020, 03:28: PM
Expert Answer
Let the G.P. be a, ar, ar2, ...
The sum of first two terms is -1/64
a + ar = -1/64
64a = -1/(1 + r) ...(i)
The sum of first three terms is 3/64.
a + ar + ar2 = 3/64
64a = 3/(1 + r + r2) ...(ii)
Equating (i) and (ii) we get r = -2 and put it in (i) we get a = 1/64
a = 1/64 and r = -2
t7 = ar6 = 1/64 (-2)6 = 4
Answered by Sneha shidid | 07 Jan, 2020, 10:11: AM
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