Show full working

If the first term of an Ap is 6 and the 4th term is 12
Find the common difference and form the sequence

2 answers

Solution:
The common difference (d) of an AP is the difference between any two consecutive terms.

Therefore, the common difference (d) = 12 - 6 = 6

The sequence of the AP is 6, 6 + 6 = 12, 12 + 6 = 18, 18 + 6 = 24, 24 + 6 = 30, and so on.

Hence, the sequence of the AP is 6, 12, 18, 24, 30, ...
Show all working
If the last term of an AP is -49,and the first term is 3,and d is -2 ,how many terms are in the Ap ,when the 45th of an AP is 30