Question

What is the sum of the sixth terms of the geometric series 2-6+18-54+

Answer 1

Answer: 122

Step-by-step explanation:

Since it is a geometric sequence, lets see the pattern below:

• -6÷2=-3
• 18÷-6=-3
• -54÷18=-3

From this, we can see that we multiply each number by -3 to get the next number.

Before we find the sum, we first find the next number.

-54×-3=162

So the whole sequence will be: 2, -6, 18, -54, 162

Find the sum

 2+(-6)+18+(-54)+162

=2-6+18-54+162

=-4-36+162

=-40+162

=122

Hope this helps!! :)

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