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What is the sum of all the odd integers between 8 and 26? A. 153 B. 151 C. 149 D. 148

Sagot :

Brainlymomshieidn

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:

  1. 139
  2. 217
  3. 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:

  1. 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

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