Sum of Odd Integers:
Answer:
A. 153
Explanation:
The sum of all the odd integers between 8 and 26 is 153 since the set of odd integers between 8 and 26 is given by {9, 11, 13, 15, 17, 19, 21, 23, 25}. Thus, 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 = 153.
What are odd numbers: https://brainly.ph/question/1192390
Examples of odd numbers: https://brainly.ph/question/8833
Other Solution:
This problem can also be solved using the arithmetic series which is the sum of the terms of the given arithmetic sequence. The formula is given by: Sn = ½ n (a₁ + a_n).
Given:
a₁ = 9
a₉ = 25
n = 9
Then , S_n = ½(9)(9 + 25)
S_n = ½ (9)(34)
S_n = ½ (306)
S_n = 306/2
S_n = 153
Remember:
- Odd numbers are numbers ending in 1, 3, 5, 7, and 9.
Examples:
- 139
- 217
- 1, 279
- Arithmetic Series is the sum of a sequence {a_n}, n = 1, 2, ..., in which each term is computed from the previous one by adding (or subtracting) a constant d.
Other Examples:
- Find the sum of the first 20 terms of the arithmetic series if a₁ = 5 and a₂₀ = 62 .
Solution:
a₁ = 5
a₂₀ = 62
n = 20
Then, S_n = ½ n (a₁ + a_n).
S_n = 1/2(20)(5 + 62)
S_n = ½(20)(67)
S_n = ½(1340)
S_n = 1340/2
S_n = 670
What is arithmetic series: https://brainly.ph/question/659343
