Question

Find the 17th term of the series 4,6,8.

Answer 1

d=2.

an=a1+(n-1)d

=4+(17-1)2

=4+32=36.

17 th term of the series is 36.

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Answer 2

Given:

• A.P → 4, 6, 8
• First term = a = 4
• Common Difference = d = 6 - 4 = 2

To find:

⟶ 17th term = a₁₇ = ?

Method:

Use this formula

aₙ = a + (n - 1)d

⇒ a₁₇ = 4 + (17 - 1)2

⇒ a₁₇ = 4 + 16(2)

⇒ a₁₇ = 4 + 32

⇒ a₁₇ = 36

∴ The 17th term is 36

Additional Information:

• Sₙ = Sum of n terms = ⁿ/₂(2a + (n - 1)d)
• We say that a set of numbers are in A.P when the common difference is equal. Here 6 - 4 = 8 - 6 = 2. o they are in A.P