Find the 22nd term of the sequence described by the explicit formula: f(n) = 8 + 3(n - 1)

Mathematics

1 answer:

kari74 [83]3 years ago

5 0

<h3>Answer:</h3>

$\boxed{\boxed{\pink{\bf \leadsto The \ 22nd \ term \ is \ 71. }}}$

<h3>Step-by-step explanation:</h3>

Given that the nth term of the Arthemetic Sequence is given by :-

$\implies f(n) = 8 + 3(n-1)$

And we need to find the 22nd term .

So in place of n substitute 22 .

$\bf\implies f(n) = 8 + 3(n-1) \\\\\bf\implies f_{22} = 8 + 3(22-1) \\\\\bf\implies f_{22} = 8 + 3\times 21 \\\\\bf\implies f_{22} = 8 + 63 \\\\\bf\boxed{\bf\implies f_{22} = 71 }$

<h3>Hence the 22nd term is 71 .</h3>

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