Question

Find the 9th term of an arithmetic sequence with 4th term 10 and common difference 6​

Answer 1

Answer:

The 9th term of the arithmetic progression is 40.

Step-by-step-explanation:

We have given that,

For an AP,

• t₄ = 10
• d = 6

We know that,

tₙ = a + ( n - 1 ) * d

⇒ t₄ = a + ( 4 - 1 ) * 6

⇒ 10 = a + 3 * 6

⇒ a + 18 = 10

⇒ a = 10 - 18

⇒ a = - 8

Now,

t₉ = a + ( 9 - 1 ) * d

⇒ t₉ = - 8 + 8 * 6

⇒ t₉ = - 8 + 48

⇒ t₉ = 40

∴ The 9th term of the arithmetic progression is 40.