6, 11, 16-. is an arithmetic sequence. Which is the first three digit number in this sequence? Question 6, 11, 16….. is an arithmetic sequence. Which is the first three digit number in this sequence? in progress 0 Math Genesis 2 months 2021-09-25T05:00:55+00:00 2021-09-25T05:00:55+00:00 1 Answer 0 views 0

## Answers ( )

Answer:101 is the first three digit number in the sequence.

Step-by-step explanation:Here, in this sequence a=6; d=11-6=5.

From the question:’

The first three digit number’From this sentence we can infer thatthe three digit number we are going to find will be ≥100

Therefore,tn ≥100

=> a+(n-1)d ≥100

on substituting,

=> 6+(n-1)5 ≥100

=> 5n-5 ≥100-6

=> 5n ≥99 =>n=99/5

=>n=19.8.

Here the nth term can be taken as the 20th term i.e n=20th term.Therefore, the number present in 20th term will be our answer.

so, t20= a+(n-1)d

=6+(20-1)5

=6+19(5)

=6+95

=

101Hope it helps you:)

All the best!!!