Use the explicit formula an = a1 + (n - 1) • d to find the 1000th term of the sequence below. 24, 31, 38, 45, 52, .

we have

24, 31, 38, 45, 52

Let

a1=24 a2=31 a3=38 a4=45 a5=52

so

a2-a1=31-24=7> a2=a1+7

a3-a2=38-31=7> a3=a2+7

a4-a3=45-38=7> a4=a3+7

a5-a4=52-45=7> a5=a4+7

this is an Arithmetic Sequence

In an Arithmetic Sequence, the difference between one term and the next is a constant. The constant term added to each term to generate the next term is called the common difference

so

an = a1 + (n - 1) • d

for n=1000

a1=24

d=7

an = 24+(1000-1)*7> an=7,017

therefore

the answer is

7,017

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step-by-step explanation: