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  • If product of 5th and 6th term of a G.P equals 2, then find  equals<

If product of 5th and 6th term of a G.P equals 2, then find a_1.a_2.a_3.......a_{10} equals

 

Option: 1

35


Option: 2

32


Option: 3

30


Option: 4

None of these


Answers (1)

best_answer

Using property that product of terms equidistant from start and end of a GP is equal to product of first and last terms.

a_1a_{10}=a_2.a_9=a_3.a_8=a_4.a_7=a_5.a_6

Also given a_5.a_6=2

So,   a_1.a_2.a_3.a_4.....a_{10}

=(a_1.a_{10})(a_2.a_9)(a_3.a_8)(a_4.a_7)(a_5.a_6)

=(a_5.a_6)^5

=2^5=32

Posted by

Sayak

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