Final answer:
To find the sum of the first 34 terms of an arithmetic sequence, you can use the formula: Sum = (n/2)(2a + (n-1)d). In this case, the first term is 2 and the common difference is 4. Substituting these values into the formula gives a sum of 2312.
Step-by-step explanation:
To find the sum of the first 34 terms of an arithmetic sequence, you can use the formula:
Sum = (n/2)(2a + (n-1)d)
Where n is the number of terms, a is the first term, and d is the common difference.
In this case, the first term is 2 and the common difference is 4.
Substituting these values into the formula gives:
Sum = (34/2)(2(2) + (34-1)(4))
Simplifying this, we get:
Sum = 17(4 + 33(4))
Sum = 17(4 + 132)
Sum = 17(136)
Sum = 2312