Question

Find the 45th term of the sequence whose first term is 6 and the difference between consecutive terms is 3. If the term is 't' and number is 'n', then give the generalized rule. Will 48 be a part of the sequence? Why *​

Answer 1

Answer:

To find the common difference d, use the formula a1+4d=a5.

For us, a1 is 10 and a5 is 38.

10+4d=38

Now we can solve for d.

4d=28

d=7

Add the common difference to the first term to get the second term.

a2=a1+d=10+7=17