The first term of an arithmetic sequence is 2 and the fourth term is 11. Find the sum of the first 50 terms.

Question

The first term of an arithmetic sequence is 2 and the fourth term is 11. Find the sum of the first 50 terms.

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    2021-09-06T02:45:23+00:00

    Answer:

    3775

    Step-by-step explanation:

    x | 1 2 3 4

    y | 2 – – 11

    x | 1 2 3 4

    y | 2 5 8 11

    y = 3x – 1

    At the 50th term, you get the number 149. I currently cannot think of a simpler and easier way than to manually add up all the numbers that follow the given equation between 2 and 149 (your 1st and 50th terms). When you add up all those numbers, you get your final answer (as you’ve given me) of 3775.

    Hope this helps!

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