Find the sum of the first 8 multiples of 3.
Answer
641.7k+ views
Hint:To solve this question, one must know the table of 3. We have to find the first 8 multiples of 3. Since we are required to find the sum of the first 8 multiples of 3, we will add all the obtained multiples of 3. From this, we can solve this question.
“Complete step-by-step answer:”
In this question, we are required to find the sum of the first 8 multiples of 3. To find the sum of the first 8 multiples of 3, we should first list down the first 8 multiples of 3. The first 8 multiples of 3 are,
3 $\times $ 1 = 3
3 $\times $ 2 = 6
3 $\times $ 3 = 9
3 $\times $ 4 = 12
3 $\times $ 5 = 15
3 $\times $ 6 = 18
3 $\times $ 7 = 21
3 $\times $ 8 = 24
Since we are required to find the sum of the first 8 multiples of 3, we have to add all the multiples that are obtained above. So, the sum of the first 8 multiples of 3 is 3 + 6 + 9 + 12 + 15 + 18 + 21 + 24 = 108.
Hence, the answer is 108.
Note: There is an alternate way to solve this question if one is clear with the concept of arithmetic progression. If we carefully observe the first 8 multiples of 3, we will notice that these multiples will form an arithmetic progression with the first term as 3, the common difference as 3 and the number of terms as 8. Using the formula for the sum of an arithmetic progression, we can find the sum of the first 8 multiples of 3.
“Complete step-by-step answer:”
In this question, we are required to find the sum of the first 8 multiples of 3. To find the sum of the first 8 multiples of 3, we should first list down the first 8 multiples of 3. The first 8 multiples of 3 are,
3 $\times $ 1 = 3
3 $\times $ 2 = 6
3 $\times $ 3 = 9
3 $\times $ 4 = 12
3 $\times $ 5 = 15
3 $\times $ 6 = 18
3 $\times $ 7 = 21
3 $\times $ 8 = 24
Since we are required to find the sum of the first 8 multiples of 3, we have to add all the multiples that are obtained above. So, the sum of the first 8 multiples of 3 is 3 + 6 + 9 + 12 + 15 + 18 + 21 + 24 = 108.
Hence, the answer is 108.
Note: There is an alternate way to solve this question if one is clear with the concept of arithmetic progression. If we carefully observe the first 8 multiples of 3, we will notice that these multiples will form an arithmetic progression with the first term as 3, the common difference as 3 and the number of terms as 8. Using the formula for the sum of an arithmetic progression, we can find the sum of the first 8 multiples of 3.
Recently Updated Pages
Master Class 11 English: Engaging Questions & Answers for Success

Master Class 11 Maths: Engaging Questions & Answers for Success

Class 11 Question and Answer - Your Ultimate Solutions Guide

Master Class 11 Biology: Engaging Questions & Answers for Success

Master Class 11 Physics: Engaging Questions & Answers for Success

Master Class 11 Accountancy: Engaging Questions & Answers for Success

Trending doubts
Class 5 Social Science Question Answers

XIX+XXX A 49 B 51 C 55 D 44 class 5 maths CBSE

Differentiate between an exothermic and an endothermic class 11 chemistry CBSE

Which is more stable and why class 12 chemistry CBSE

Which are the Top 10 Largest Countries of the World?

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

