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

a_50 = 252

Step-by-step 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.