find the number of terms
14,21,28,35.....6293
The terms grow by 7, so
(6293-14)/7 + 1
The answer is correct.
To find the number of terms in a sequence, we need to determine the pattern or the common difference in the sequence. In this case, the sequence is an arithmetic sequence because there is a constant difference between each term. The first term is 14, and each subsequent term is increasing by 7.
To find the number of terms, we need to determine at which term the sequence reaches or exceeds 6293. We can do this by subtracting the first term from 6293 and then dividing the result by the common difference. This will give us the number of terms between the first term and the term that exceeds 6293.
Let's go step by step:
1. Subtract the first term from 6293: 6293 - 14 = 6279.
2. Divide the result by the common difference (7): 6279 รท 7 = 897.
So, there are 897 terms in the sequence 14, 21, 28, 35, ..., 6293.