Drag the tiles to the correct boxes to complete the pairs.
Match each expression to its simplified form.
(6r+7)+(13+7r)
(13 – 2) - (1-r)
(-8-7)+(21-4)
(7. - 2) - ( + 6r)
210
13r+20
-12+1

The sum of the first 40 terms of 17, 24, 31, 38,..., with a common difference of 7 is: 6,140.

Recall:

Formula for finding the sum of the first n terms of an arithmetic progression/sequence is given as:  d = common difference between termsa = the first term of the sequence

Thus, the first term of the sequence, 17, 24, 31, 38,..., is: 17

a = 17

Common difference (d) = 38 - 31 = 31 - 24 = 24 - 17 = 7

d = 7n = 40 (sum of the first 40 terms is what is required

Plug in the values into the formula for finding the sum of the first n terms:

Therefore, the sum of the first 40 terms of 17, 24, 31, 38,..., with a common difference of 7 is: 6,140.

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