Question

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what is the next term? 3,5,9,15,25,41,67,109,?

Answer 1

Answer:

177

Step-by-step explanation:

2, 4, 6, 10, 16, 26, 42, 68 are the differences between the numbers and 68(the last difference) is the difference required between 109 and an unknow number.

Therefore, 109 + 68 = 177

Expectation:

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Answer 2

Answer:

177

Step-by-step explanation:

Given series:

• 3, 5, 9, 15, 25, 41, 67, 109 , ?

if we add 1 to each term, we get:

• 4, 6, 10, 16, 26, 42, 68, 110 , ?

Now let's see what is the difference of terms:

• 2, 4, 6, 10, 16, 26, 42

As we see the difference equals to the previous term, so to find the next term we need to add 68 to 110, and get 178. Since we added 1 to each term, now we will subtract it and get 178-1=177 for the original series.

So the next term in the given series is 177

Answer: The next term is 177