Find the next 3 terms in the geometric sequence? -5, -10, -20, -40−5,−10,−20,−40

2 Answers
David Drayer
Mar 29, 2018

-80,-160,-320

Explanation:

The function is 2 xx n2×n
As n is a negative number the size of the negative number continues to increase.

Shantelle
Mar 29, 2018

The next 33 terms are -80−80, -160−160, and -320−320 in that order.

Explanation:

From the numbers you currently have, we can set a rule of what the next numbers will be. From -5−5 to -10−10, you multiplied by 22. From -10−10 to -20−20, you multiplied by 22, and so on.

The last number you have is -40−40. So using the same rule, multiplying by 22, we can use that to find the next 33 numbers:

-40 * 2 = -80−40⋅2=−80

-80 * 2 = -160−80⋅2=−160

-160 * 2 = -320−160⋅2=−320

Therefore, the next 33 terms are -80−80, -160−160, and -320−320 in that order.

Hope this helps!

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