Question

How do I solve this I don't understand?

Answer 1

The equation for this sequence will be 8 + 17n - 17 with n being replaced with the term number you are trying to find.

so 8 + 17(16) - 17

17 x 16= 272

8 + 272= 280

280- 17= 263

Thus, the 16th term will be 263.

Answer 2

16ᵗʰ Term of the sequence is 263

Explanation:

Here,

First Term = a₁ = 8

Second Term = a₂ = 25

Third Term = a₃ = 42

Now,

Common Difference (d)

d = a₂ - a₁ = 25 - 8 = 17

d = a₃ - a₂ = 42 - 25 = 17

Here, Common Difference is same everywhere

Now, For 16ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₁₆ = 8 + (16 - 1) × 17

a₁₆ = 8 + 15 × 17

a₁₆ = 8 + 255

a₁₆ = 263

Thus, 16ᵗʰ Term of the sequence is 263

-TheUnknownScientist