The sum of the arithmetic sequence 1, 3, 5, 7, … , 99 is 2525
<h3>What is Sequence?</h3>
Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Given sequence is 1, 3, 5, 7, … , 99.
It is a arithmetic sequence, the difference between two consecutive terms will be same
d=3-1=2
first term a=1
l=last term =99
We need to find 99 is which term in the sequence
Aₙ = a + ( n - 1 ) d
99=1+(n-1)2
99=1+2n-2
99=2n-1
100=2n
Divide both sides by 2
50=n
Now we need to find the sum of 50 terms
Sₙ=n/2(l+d)
=50/2(99+2)
=25(101)
=2525
Hence, the sum of the arithmetic sequence 1, 3, 5, 7, … , 99 is 2525
To learn more on Sequence click:
brainly.com/question/21961097
#SPJ1
