Question

In a given pattern: 4, 8, 12, 16, … what is the 17th term?

Answer 1

Answer:

the given progression is 4,8,12,16,....

this is arithmetic progression with a=4 and d=4

the n th term of a.p is tn=a+(n-1)d

t17=4+(17-1)4

t17=4+(16)4=4×17=68

therefore, t17=68

hope you it helps,thank you

Answer 2

17th term = 68

Given :

The pattern 4, 8, 12, 16, …

To find :

17th term

Concept :

The nth term of an AP is

aₙ = a + (n - 1 )d

a = first term

aₙ = nth term

d = common difference.

Solution :

Step 1 of 3 :

Write down the given pattern

Here the given pattern is 4, 8, 12, 16, …

This is an arithmetic progression

Step 2 of 3 :

Write down first term and common difference

The arithmetic progression is

4, 8, 12, 16, …

First term = a = 4

Common Difference = d = 8 - 4 = 4

Step 3 of 3 :

Find 17th term of the pattern

17th term of the pattern

$\sf = a_{17}$

= a + (17 - 1)d

= a + 16d

= 4 + [16 × 4]

= 4 + 64

= 68

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