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Answer the following:
In a G.P., the fourth term is 48 and the eighth term is 768. Find the tenth term
Concept: undefined >> undefined
Answer the following:
Find the sum of the first 5 terms of the G.P. whose first term is 1 and common ratio is `2/3`
Concept: undefined >> undefined
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Answer the following:
For a G.P. a = `4/3` and t7 = `243/1024`, find the value of r
Concept: undefined >> undefined
Answer the following:
For a sequence , if tn = `(5^("n" - 2))/(7^("n" - 3))`, verify whether the sequence is a G.P. If it is a G.P., find its first term and the common ratio.
Concept: undefined >> undefined
Answer the following:
Find three numbers in G.P. such that their sum is 35 and their product is 1000
Concept: undefined >> undefined
Answer the following:
Find five numbers in G.P. such that their product is 243 and sum of second and fourth number is 10.
Concept: undefined >> undefined
Answer the following:
For a sequence Sn = 4(7n – 1) verify that the sequence is a G.P.
Concept: undefined >> undefined
Answer the following:
Find the nth term of the sequence 0.6, 0.66, 0.666, 0.6666, ...
Concept: undefined >> undefined
Answer the following:
For a G.P. if t2 = 7, t4 = 1575 find a
Concept: undefined >> undefined
Answer the following:
If for a G.P. t3 = `1/3`, t6 = `1/81` find r
Concept: undefined >> undefined
Answer the following:
Find `sum_("r" = 1)^"n" (2/3)^"r"`
Concept: undefined >> undefined
Answer the following:
Find k so that k – 1, k, k + 2 are consecutive terms of a G.P.
Concept: undefined >> undefined
Answer the following:
If for a G.P. first term is (27)2 and seventh term is (8)2, find S8
Concept: undefined >> undefined
Answer the following:
If pth, qth and rth terms of a G.P. are x, y, z respectively. Find the value of xq–r .yr–p .zp–q
Concept: undefined >> undefined
Answer the following:
Which 2 terms are inserted between 5 and 40 so that the resulting sequence is G.P.
Concept: undefined >> undefined
Answer the following:
If a, b, c are in G.P. and ax2 + 2bx + c = 0 and px2 + 2qx + r = 0 have common roots then verify that pb2 – 2qba + ra2 = 0
Concept: undefined >> undefined
Answer the following:
If p, q, r, s are in G.P., show that (p2 + q2 + r2) (q2 + r2 + s2) = (pq + qr + rs)2
Concept: undefined >> undefined
Answer the following:
If p, q, r, s are in G.P., show that (pn + qn), (qn + rn) , (rn + sn) are also in G.P.
Concept: undefined >> undefined
Answer the following:
Find the sum of infinite terms of `1 + 4/5 + 7/25 + 10/125 + 13/6225 + ...`
Concept: undefined >> undefined
Evaluate: 8!
Concept: undefined >> undefined
