Find the sum of the first 8 multiples of 3.
Answer
670.8k+ 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.
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