Use the explicit formula an = a1 + (n - 1) • d to find the 1,000th term of the sequence below.

24, 31, 38, 45, 52, ...

Respuesta :

an = a1 + (n - 1)d, n=1000, a1=24, d=38-31=7  substitute
a(1000) = 24 + (1000 - 1)*7=24+999*7=7017

The 1000th term of the arithmetic progression 24,31,38,45,52,.... is 7017.

What is arithmetic progression?

It refers to the sequence of numbers having a common difference.

Nth term of the arithmetic progression is a+(n-1)d.

How to find a term of arithmetic progression?

The arithmetic progression which is given as 24,31,38,45,52,.... and we have to find the 1000th term of that arithmetic progression.

1000th term=24+(1000-1)*7

=24+999*7

=24+6993

=7017

Hence the 1000th term of arithmetic progression is 7017.

Learn more about arithmetic progression at https://brainly.com/question/6561461

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