Respuesta :

To find a(1), simply look at the first term, which is -17. This gives a starting point for the recursive formula.

Then, we want to write the recursive formula as a(n) = a(n - 1) + c, where c is the number you add to a term to get the next term. You can see from the values given that you are adding 9 to each term to get the next one, so the recursive formula would be a(n) = a(n - 1) + 9.

First term of sequence of arithmetic (a₁) is -17 and aₙ is -17 + 9(n-1)

What is arithmetic sequence?

A arithmetic sequence is defined as an arrangement of numbers which is particular order.

The formula to find the general term of an arithmetic sequence is,

aₙ = a₁ + (n-1)d

What is geometric sequence?

The geometric sequence defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.

The nth term of a geometric progression is expressed as

Tₙ = arⁿ⁻¹

Given data :

The arithmetic sequence -17, -8, 1, 10,...

First term of sequence of arithmetic (a₁) = -17

The common difference of arithmetic (d) = difference between the two term

The common difference of arithmetic (d) = -8 - (-17)

The common difference of arithmetic (d) = -8 + 17

The common difference of arithmetic (d) = 9

To determine the n term of arithmetic sequence

The nth term of a arithmetic sequence is expressed as :

aₙ = a₁ + (n-1)d

substitute the values of a₁ and d in the formula,

aₙ = -17 + (n-1)9

Let n = 5

a₅ = -17 + (5 - 1)9

a₅ = -17 + (4)9

a₅ = -17 + 45

a₅ = 28

Learn more about arithmetic sequence here :

brainly.com/question/21961097

#SPJ5

ACCESS MORE
EDU ACCESS