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2 years ago

352,345,338,... Find the 43rd term

Mathematics

1 answer:

Airida [17]2 years ago

5 0

Step-by-step explanation:

it seems we are dealing with subtraction, as the differences between the 1st and second, and between the 2nd and 3rd numbers are equal : -7

so, we can assume that the sequence is created by always subtracting 7.

a1 = 352

a2 = a1 - 7 = 352 - 7 = 345

a3 = a2 - 7 = a1 - 7 - 7 = 352 - 7 - 7 = 338

an = an-1 - 7 = a1 - 7(n-1) = 352 - 7(n-1)

a43 = 352 - 7(43-1) = 352 - 7×42 = 352 - 294 = 58

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