Question

write the sequence obtained by multiplying each odd number starting from 1by2 and adding 3.Does it form an arithmetic sequence​

Answer 1

Answer:

consecutive numbers are constant.

odd numbers:1,3,5,7

=1×2+3=5

=3×2+3=9

=5×2+3=13

=7×2+3=17

Putting the all the answers of thise odd numbers in sequence...

5,9,13,17

Arithmetic sequence is shown.on the consecutive terms having a costant difference of 4

mark at Brainliest

Answer 2

5 , 9 , 13 , 17 , 21 , .....

Yes, this forms a arithmetic sequence

Solution:

Given that,

write the sequence obtained by multiplying each odd number starting from 1 by 2 and adding 3

Which means,

$1 \times 2 + 3 = 5 \\\\3 \times 2 + 3 = 9 \\\\5 \times 2 + 3 = 13 \\\\7 \times 2 + 3 = 17 \\\\9 \times 2 + 3 = 21\\\\And\ so\ on$

Thus the sequence obtained is:

5 , 9 , 13 , 17 , 21 , .....

Find the difference between terms

9 - 5 = 4

13 - 9 = 4

17 - 13 = 4

21 - 17 = 4

This forms a Arithmetic sequence with common difference of 4

Learn more:

Write the first five terms of the sequence and obtain the corresponding series :-

a1=3,an=3an-1+2 for all n>1

https://brainly.in/question/5454144

In the expression 3n-10,substitute values 1,2,3,4 and 5 for n and write the values of the expression in order state , with reason , whether the sequence obtained is an A.P.

https://brainly.in/question/7335852