The 3rd term of an GP is 4. Find the product of its first 5 terms.

Asked by bdroy_2014 | 8th Feb, 2018, 02:52: PM

Expert Answer:

begin mathsize 16px style Let space 5 space terms space of space an space Arithmetic space Progression space are space
straight a comma ar comma ar squared comma ar cubed comma ar to the power of 4
straight t subscript 3 space equals ar squared equals 4......... left parenthesis 1 right parenthesis
Product space of space first space five space terms equals straight a cross times ar cross times ar squared cross times ar cubed cross times ar to the power of 4
straight a cross times ar cross times ar squared cross times ar cubed cross times ar to the power of 4 equals straight a to the power of 5 straight r to the power of 10
straight a to the power of 5 straight r to the power of 10 space equals open parentheses space ar squared close parentheses to the power of 5 space equals 4 to the power of 5........... from space left parenthesis 1 right parenthesis
Product space of space first space five space terms space equals space 1024
end style

Answered by Arun | 8th Feb, 2018, 05:54: PM