Question

In the partial sequence …, 987, N, 2584, 4181, …, each new term is the sum of the two previous terms. Find the whole number value of N.

Answer 1

Answer: 2584

Step-by-step explanation:

We can find N with 2584 and 4181.

4181 - 2584

= 1597

We can also check our answer by adding 1597 and 987

1597 + 987

= 2584

Answer 2

A sequence can be arithmetic, geometric or neither.

The value of N is 1597

The partial sequence is given as:

.... 987, N, 2584, 4181......

From the question, the current term is the sum of two previous terms.

This means that:

$\mathbf{987 + N = 2584}$ and

$\mathbf{N + 2584 = 4181}$

Make N the subject in both equations

$\mathbf{N = 2584 - 987}$

and

$\mathbf{N = 4181 - 2584 }$

So, we have:

$\mathbf{N = 1597}$

and

$\mathbf{N = 1597}$

Hence, the value of N is 1597

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https://brainly.com/question/12914852