Question

What is the difference between the sum of the first 20 terms and the
next 20 terms of the arithmetic sequence 6, 10, 14, ...?
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Answer 1

Answer:

please brainlest answer. ..........

Step-by-step explanation:

Term 1 is 6. The difference is 4. Term 20 is 6 + 19 x 4 = 82. Term 21 is 86. Term 40 is 6 + 39 x 4 = 162.

The sum of the first 20 terms is 20/2 (6 + 82) = 880.

The sum of the next 20 terms is 20/2 (86 + 162) = 2480.

The difference of the sums is 2480 - 880 = 1600.

Alternately the sum of all 40 terms is 40/2 (6 + 162) = 3360.

The sum of the second 20 terms is 3360 - 880 = 2480.

The difference is still 2480 - 880 = 1600.