Determine a formula for the nth term of the sequence?

2*3, 6*4, 10*5, 14*6

I have no clue on how to solve this, Please may someone help me on the solution with the steps on how to solve this. Your help would be very much appreciated.

Top 2 Answers

A few days ago

brashion

Favorite Answer

The first factor increases by 4 in each term, starting at 2, so the expression is 2 + 4n (if we say 2*3 is the 0th term). The second factor increases by 1, starting at 3, so 3 + n. That gives a general expression of

(2 + 4n)*(3 + n) = 4n^2 + 14n + 6.

Checking the first few values of n gives 6, 24, 50, 84, 126, 176, which matches the terms you gave.

4 years ago

bradsher

4 is being extra to the 1st quantity and the quantity this is being expanded with the aid of is including one every time. so (2+4(n-a million))*(n+2) the place n is comparable to the quantity in the series.

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Determine a formula for the nth term of the sequence?

Determine a formula for the nth term of the sequence?

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