Question

B₁=2, b₂=10, n=3 знайдіть член bₙ

Answer 1

Пояснення:

q = b2 / b1 = 10/2 = 5

bn= b3

b3 = 50

Answer 2

To find the nth term (bₙ) in the sequence, we need to identify the pattern or rule governing the sequence.

Given sequence: B₁=2, b₂=10, n=3

One possible way to identify the pattern is by calculating the differences between consecutive terms:

b₂ - B₁ = 10 - 2 = 8 b₃ - b₂ = bₙ - 10

It seems that the differences between consecutive terms are increasing by 8 each time. Let's verify this:

b₃ - b₂ = 8 (10 + 8 = 18)

Now we can see that the difference between b₂ and b₁ is 8, and the difference between b₃ and b₂ is also 8. Therefore, we can deduce that the differences will keep increasing by 8 as we progress in the sequence.

To find bₙ, we can calculate it as follows:

bₙ = b₂ + (n - 2) * 8

Now, plug in the values:

bₙ = 10 + (3 - 2) * 8 bₙ = 10 + 8 bₙ = 18

So, the third term (bₙ) in the sequence is 18.