The general term of an infinite geometric sequence is given by:
T(n)=6[(x+1)/8)^(n)
(a) Find the range of the values of x for which the sum to infinity exists.
(b) Find the sum to infinity of the sequence in terms of x.
(c) If the sum to infinity of the sequence is 18, find the value of x.

Question

The general term of an infinite geometric sequence is given by:
T(n)=6[(x+1)/8)^(n)
(a) Find the range of the values of x for which the sum to infinity exists.
(b) Find the sum to infinity of the sequence in terms of x.
(c) If the sum to infinity of the sequence is 18, find the value of x.

anonymous · Answer

$$T(n)=6(\frac{ x+1 }{ 8 })^{n}$$

anonymous · Answer

@hartnn @Callisto

hartnn · Answer

the sum to infinity will converge(exist) if $|r|<1$
can you find 'r' from your general term ?

hartnn · Answer

general equation, $T(n)=a_1r^{n-1}$

anonymous · Answer

umm..

hartnn · Answer

find a1 and 'r' both from your general term, you will need both

anonymous · Answer

'r' is the ratio?

primeralph · Answer

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