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,

105th term of given series is

Step-by-step explanation:

Given series is

As we can see,

Also,

hence, we can say given series is in arithmetic progression,

with common difference,

As given in question the nth term in A.P is given by

since we have to find the 105th term, so we can write

Hence, the 105th term of given series of A.P is .

b is the answer that makes most sense

step-by-step explanation: