Question

What is the explicit formula for this sequence? −7, −4, −1, 2, 5, …

Answer 1

The explicit formula for the sequence is 3n -10

What is an Arithmetic Sequence ?

An arithmetic sequence is a series of terms which have  common difference between its consecutive numbers.

The sequence given is

−7, −4, −1, 2, 5, …

The common difference between each term is d =3

-4-(-7) = 3

-1-(-4) =3

The nth term for a sequence is given by

$\rm T_n = a +(n-1)d$

Here a is the first term = -7

n is the no. of terms  = n

d is the common difference = 3

Therefore the equation will be

$\rm T _n = -7 + (n-1) * 3$

$\rm T _n$ = -7 +3n -3

$\rm T _n$ = 3n -10

Therefore the explicit formula for the sequence is 3n -10 .

To know more about Arithmetic Sequence

brainly.com/question/15412619

#SPJ1