SOLUTION: Please help me solve these question, in geometric progression. The first and the last term of the geometric progression are 2 and 2,048 respectively.The sum of the term of the prog

Question 1020019: Please help me solve these question, in geometric progression. The first and the last term of the geometric progression are 2 and 2,048 respectively.The sum of the term of the progression is 2,730 find the number of terms and the common ratio (c.r)
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
The first term , the nth term is = 2,048.
The sum of the first n terms of a geometric sequence is given by the formula

After substitution,

<==> 2730 - 2730r = 2 - 2,048r, after cross-multiplying.
<==> 2,728 = 682r
<==> , the common ratio (c.r.)
Now from the formula for the nth term of a gp, ,
we get
, and we proceed to determine the value of n.
<==>
==>
==> 10 = 2n - 2
==> 12 = 2n
==> , the number of terms added in the sequence,
and the problem is solved.
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