Question

The nth term in a sequence is 2n -6 work out the first three terms

Answer 1

Answer:

The first three terms in the sequence are -4, -2, 0

Step-by-step explanation:

In any sequence n represents the position of the term in the sequence

Examples:

First term ⇒ n = 1

Second term ⇒ n = 2

Fifth term ⇒ n = 5

Let us solve our question

∵ The rule of the nth term is an = 2n - 6

→ We need to find the first three terms, means n = 1, 2, 3

∵ n = 1

∴ a1 = 2(1) - 6

∴ a1 = 2 - 6

∴ a1 = -4

∴ The first term is -4

∵ n = 2

∴ a2 = 2(2) - 6

∴ a2 = 4 - 6

∴ a2 = -2

∴ The second term is -2

∵ n = 3

∴ a3 = 2(3) - 6

∴ a3 = 6 - 6

∴ a3 = 0

∴ The third term is 0

The first three terms in the sequence are -4, -2, 0