Respuesta :
The arithmetic sequence given above has a first term (a1) equal to 3 and the common difference (d) equal to 6. The sum of the first n terms of the sequence is calculated through the equation,
Sn = (n/ 2) x (2a1 + (n - 1) x d)
Substituting,
S22 = (22 / 2) x (2x3 + (22 - 1) x 6) = 1452
Therefore, the answer is the first choice, 1452.
Sn = (n/ 2) x (2a1 + (n - 1) x d)
Substituting,
S22 = (22 / 2) x (2x3 + (22 - 1) x 6) = 1452
Therefore, the answer is the first choice, 1452.
The sum of the arithmetic sequence 3, 9, 15..., if there are 22 terms is 1452
Sum of Arithmetic sequence
The formula for calculating the sum of AP is given as:
Find the last term "l"
T22 = l = 3 +(22-1)(6)
T22 = 3+21(6)
T22 = 129
Using the formula below to calculate the sum;
Sn = n/2[a+l]
a is the first term
l is the last term
n is the number of terms
Determine the sum
S22 = 22/2[3+129]
S22 = 11(132)
S22 = 1452
Hence the sum of the arithmetic sequence 3, 9, 15..., if there are 22 terms is 1452
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