Question

Find a formula for the nth term
of the arithmetic sequence.
First term 1
Common difference 4

Answer 1

Answer:

$a_n=4n-3$

Step-by-step explanation:

$a_n=a_1+(n-1)d$

$a_n=1+(n-1)4$

$a_n=1+4n-4$

$a_n=4n+1-4$

$a_n=4n-3$

Answer 2

The required nth term of an arithmetic sequence $a_n=1+(n-1)4$.

Given, for an arithmetic sequence
first term (a) = 1 , Common difference (d) = 4
nth term to be determined.

What is arithmetic progression?

Arithmetic progression is the series of numbers that have common differences between adjacent values. i.e. $a_n = a_1 + (n-1)d$, $a_1$ = first term
d = common difference and $a_n$ = nth term of sequence.

Here,
first term (a) = 1
Common difference (d) = 4
the nth term of an arithmetic sequence,
$a_n = a_1 + (n-1)d$
$a_n$ = 1 + ( n - 1 )4
Now sequence can be given as
at n = 1 , $a_1 =$ 1
at n = 2, $a_2$ = 1+(2-1)4
  $a_2$ = 5
similarly the sequance 1, 5, 9, 13 . . . .  

Thus, The required nth term of an arithmetic sequence $a_n=1+(n-1)4$.

Learn more about arithmetic progression here: https://brainly.com/question/20334860
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