If the (p + q)th and (p − q)th term of a G.P. are m and n respectively, then its pth term is : 1. mn 2. 3. (mn)2 4.

Question

KnowledgeBoat · Accepted Answer

Given, (p + q)th term = m (p - q)th term = n We know that, nth term of a G.P. is given by, Tn = arn - 1 ⇒ Tp + q = m ⇒ arp + q - 1 = m ........(1) ⇒ Tp - q = n ⇒ arp - q - 1 = n ........(2) ⇒ Tp = arp - 1 Multiplying equation (1) and (2) : ⇒ arp + q - 1 × arp - q - 1 = mn ⇒ a2.rp + q - 1 + p - q - 1 = mn ⇒ a2.r2p - 2 = mn Taking square root on both sides: ⇒ ⇒ arp - 1 = Thus, pth term = . Hence, option 2 is the correct option.

Mathematics

If the (p + q)th and (p − q)th term of a G.P. are m and n respectively, then its pth term is : 1. mn 2. 3. (mn)2 4.

G.P.

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Mathematics

If the (p + q)th and (p − q)th term of a G.P. are m and n respectively, then its pth term is : 1. mn 2. 3. (mn)2 4.

G.P.

Related Questions

Which term of the G.P. 2, 8, 32, 128, …….. is 131072?9th10th8th12th

If the 5th term of a G.P. is 2, then the product of its first nine terms is :25610245122048

Which term of the G.P. 2, 8, 32, 128, …….. is 131072?
9th
10th
8th
12th

If the 5th term of a G.P. is 2, then the product of its first nine terms is :
256
1024
512
2048