need help with math it is in the Arithmetic Sequences math

Question

i have an equation it is a_n=5(n-1)+19 i need to find the 18th term of this equation please help i need the steps and answer.

Answer 1

a_n=5(n-1)+19 formula given

For the18th term, n=18. So plug this into the formula.

a₁₈=5(18-1)+19 = 5(17)+19 = 104

Answer 2

For 18th term, n is actually 18.

Then you are looking for a₁₈.

In the given formula substitute n=18.

You will have: a₁₈=5(18-1)+19=5*17+19=104.

Answer 3

Hi Tony,

Formula for arithmetic sequence is:

a_n=a₁ + (n-1)d

Breaking this down:

a_n=nth term in sequence, term we are asked to find

n=number of term we are asked to find (18 here)

d=constant difference between terms--recall that arithmetic sequences require constant difference

So, we rewrite your equation as:

a_n=19 + 5(n-1)

This aligns more closely with the formula and recall that addition is commutative, so this is permissible.

Now, we can assign values and substitute.

a_n=a₁₈, value we are looking for

a₁=19, the first term

n=18

d=5

Substituting:

a₁₈₌19 + 5(18-1)

a₁₈=19 + 5(17)

a₁₈=104

I hope this helps.

Answer 4

a_n = 5(n - 1) + 19

a₁₈ = 5(18 - 1) + 19

Can you calculate and answer?