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Fynjy0 [20]
3 years ago
10

What is the arithmetic rule to the sequence: 1/3,4/3,7/3find: f(10)

Mathematics
1 answer:
makkiz [27]3 years ago
8 0

The the value of f(n)=\frac{28}{3}

Step-by-step explanation:

The Arithemetic sequence is given as a,a+d,a+2d......a(n-1)d

and f(n)=a(n-1)d

The given sequence is 1/3,4/3,7/3...

By comapring with Arithemetic sequence,

we get a=1/3

a+d=4/3

1/3 + d = 4/3

d=1

To find value of f(10):

take n=10

f(n)=\frac{1}{3} +(10-1)1

f(n)=\frac{1}{3} +(9)1

f(n)=\frac{1+27}{3}

f(n)=\frac{28}{3}

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