Question

the nth term in this sequence: 4,7,10,13,16

Answer 1

Given.
a=4,d=7-4=3
an=a+(n-1)d
an=4+(n-1)3
an=4+3n-3
an=1-3n

nth term=1-3n..

Answer 2

The nth term of sequence 4,7,10,13,16 is 3n + 1

Given : The sequence is 4 , 7 , 10 , 13 , 16

To find : The nth term

Tip :

If in an arithmetic sequence

First term = a

Common difference = d

Then nth term of the sequence

= a + ( n - 1 )d

Solution :

Step 1 of 3 :

Write down the given sequence

The given sequence is

4 , 7 , 10 , 13 , 16

Step 2 of 3 :

Find first term and common difference

The given sequence is an arithmetic sequence

First term = a = 4

Common Difference = d = 7 - 4 = 3

Step 3 of 3 :

Find the nth term

Hence the required nth term of the sequence

$\sf = a + ( n - 1 )d$

$\sf = 4 + ( n - 1 ) \times 3$

$\sf = 4 + 3 n - 3$

$\sf = 3 n + 1$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ If for an A.P., S15= 147 and s14=123 find t 15

(A) 24 (B) 23 (C) 47 (D) 46

https://brainly.in/question/34324030

2. Insert there arithmetic means between -20 and 4

https://brainly.in/question/29887163