Find the 30th term of the arithmetic series 2, 5, 8, …

Corbin Bradford
2022-09-26
Answered

Find the 30th term of the arithmetic series 2, 5, 8, …

You can still ask an expert for help

Jane Acosta

Answered 2022-09-27
Author has **14** answers

Given: arithmetic series 2,5,8

arithmetic series have the form: ${a}^{n}={a}_{1}+(n-1)d$

d= the common difference

$d={a}_{2}-{a}_{1}={a}_{3}-{a}_{2}=8-5=3$

${a}^{n}=2+3(n-1)$

To find the 30th term, let n=30:

${a}_{30}=2+3(30-1)=2+3\left(29\right)=2+87=89$

arithmetic series have the form: ${a}^{n}={a}_{1}+(n-1)d$

d= the common difference

$d={a}_{2}-{a}_{1}={a}_{3}-{a}_{2}=8-5=3$

${a}^{n}=2+3(n-1)$

To find the 30th term, let n=30:

${a}_{30}=2+3(30-1)=2+3\left(29\right)=2+87=89$

asked 2021-01-31

(a) Find a closed-form solution for this recurrence relation:

(b) Prove that your closed-form solution is correct.

asked 2022-09-11

What is an arithmetic sequence?

asked 2022-09-08

How do you express the sequence below as a recursively defined function 4, 11, 25, 53, 109,...?

asked 2022-03-08

Write the first 5 terms of the sequence with general terms $a}_{n$ and indicate whether they are convergent or divergent

1)$a}_{n}=\frac{3n-5}{n+8$

2)$a}_{n}=(2n+1)\times {3}^{n$

3)$a}_{n}=\frac{1}{{2}^{n}}+n=n+{2}^{-n$

1)

2)

3)

asked 2022-03-26

Determine the Z-transform for the sequence

$x\left[n\right]={\left(\frac{1}{3}\right)}^{n-2}u[n-2]$

asked 2022-09-09

How do I find the n-th term of an arithmetic sequence?

asked 2022-09-09

Write the first six terms of the sequence $a}_{n}={(-n)}^{3$