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rachel2735
15.07.2019 •
Mathematics
Use the explicit formula an = a1 + (n - 1) • d to find the 1000th term of the sequence below. 24, 31, 38, 45, 52, .
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Ответ:
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
Ответ: