In an arithmetic sequence, the nth term an is given by the formula an=a1+(n−1)d, where a1 is the first term and d is the common difference. similarly, in a geometric sequence, the nth term is given by 1an=a1•rn−1,
where r is the common ratio. use these formulas to determine
the indicated term in the given sequence.
the 105th term of 1/2, 1, 3/2,

The 105th term of given sequence is .

Step-by-step explanation:

The given sequence is

It can be rewritten as

Here the first term is 0.5.

It is an arithmetic sequence because it has common difference.

The nth term of an AP is

where, is first term and d is common difference.

Substitute and in the above formula.

We need to find the 105th term of given sequence.

Substitute n=105 in the above equation.

Therefore the 105th term of given sequence is .

step-by-step explanation: