SOLUTION: In a given sequence the first term is 3, the last term is 58, and the sum of all the terms is 366. What is the common difference?

Question 1191495: In a given sequence the first term is 3, the last term is 58, and the sum of all the terms is 366. What is the common difference?
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

d = common difference
n = number of terms
= first term = 3
= nth term or last term = 58
= sum of the first n terms = 366

There are 12 terms.
Phrased another way, the 12th term is 58, ie

Use this to find the value of d below.

The common difference is 5.
This means we add 5 to each term to get the next term.
The sequence of twelve terms is 3, 8, 13, ..., 53, 58 and these terms add to 366.

Answer: 5

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