Question

Find the indicated term of the arithmetic sequence with firt term a1 and common difference, dFind a50 when a=7 d=5

Answer 1

Answer:

a_50 = 252

Explanation:

The formula for an arithmetic sequence is given by

$a_n=a_1+d(n-1)$

where

a_1 = first term

d = common difference.

Now in our case, we are told that

a_1 = 7 and d = 5; therefore,

$a_n=7+5(n-1)$

Now the 50th term is found by putting n =50 into the above equation; this gives

$a_{50}=7+5(50-1)$

which simplifies to give

$a_{50}=7+245$$\boxed{a_{50}=252.}$

Hence, the 50th term is 252.