Question

if thee first and nth term of a g.p are a and p reapectivly and if p is the product of n term prove that p2=(ab)n​

Answer 1

Question: If the first and the nth term of a G.P are “a” and “b”, respectively, and if P is product of n terms, prove that P² = (ab)ⁿ

Explanation

• There are total n terms in GP
• So in Product we have aⁿ since a is multiplied n times
• Since r is common so powers will be added
• Use formula S = n terms/2(First Term + Last Term)

Here,

• n terms = n - 1 for r (not for a)
• First Term = 1 & Last Term = n - 1
• Square and take power n as common
• You will obtain general form of G.P. which is equal to last term
• As per question Last term = b

Hence Proved!

Answer 2

Answer:

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