45. Calculate the sum of the first 10 terms in an aritmetic sequence with a first term of 2 and a common difference of 3
To calculate the sum of the first 10 terms in an arithmetic sequence, we can use the formula for the sum of an arithmetic series which is given by:
Sn = (n/2)(2a + (n-1)d),
where Sn represents the sum of the series, n is the number of terms, a is the first term, and d is the common difference.
For your specific arithmetic sequence with a first term (a) of 2 and a common difference (d) of 3, we can substitute these values into the formula.
Sn = (10/2)(2(2) + (10-1)(3))
Sn = 5(4 + 9(3))
Sn = 5(4 + 27)
Sn = 5(31)
Sn = 155
So, The sum of the first 10 terms in the arithmetic sequence with a first term of 2 and a common difference of 3 is 155..
And may this help.
Answer:
SMART
Step-by-step explanation:
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