Question

(c) Write the first natural number term of the arithmetic sequence 14/8,17/8,20/8​

Answer 1

Answer:

23/8

Step-by-step explanation:

14/8 + 3/8 = 17/8

17/8 + 3/8 = 20/8

20/8 + 3/8 = 23/8

Answer 2

The first natural number term of the given arithmetic sequence is 4.

Given: The sequence 14/8, 17/8, 20/8, ...

To find: The first natural number term of the arithmetic sequence

Solution:

AP = 14/8, 17/8, 20/8, ...

Let the first term = a

common difference = d

nth term = tₙ

As we can see,

a = 14/8

d = 17/8 - 14/8 = 3/8

tₙ = a + (n - 1)d

⇒ tₙ = 14/8 + (n - 1)(3/8)

∴ Continuing the series, we get

AP = 14/8, 17/8, 20/8, 23/8, 26/8, 29/8, 32/8

⇒ AP = 14/8, 17/8, 20/8, 23/8, 26/8, 29/8, 4 [since 32/8 = 4]

⇒ 4 is the first natural number term of the arithmetic sequence.

SPJ2