Answer:
f(n) = 3n + 5
Explanation:
Given sequence 8, 11, 14, 17,...
it is an arithmetical progression (AP)series
in AP series
nth term is given by
nth term = a + (n-1)d
where a is first term
d is the common difference
common difference is calculated as = nth term - (n-1)th term
lets take nth term and (n-1)th term as 2nd term and 1st term
d = 11-8 = 3
Thus, common difference is 3
first term is 8
nth term is given by
nth term = a + (n-1)d
= 8+(n-1)3
= 8 + 3n -3
= 5 + 3n
The formula that will generate the sequence 8, 11, 14, 17,...,
is option f(n) = 3n + 5
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A quick way to find this is take any value of the series and determine its term number and put value of term in the option . The option which gives the same value as in the sequence is the correct choice
Example
8 is the 1st term
so in place of n put 1 in all the option. The option which will give value as 8 is correct answer.