Provide an appropriate response.
-The first difference of a sequence is 2, 4, 6, 8, 10, . . . Find the first six terms of the original sequence if the third term of the original sequence is 61.
A)61, 63, 65, 67, 69, 71
B)55, 57, 61, 67, 69, 71
C)59, 57, 61, 67, 69, 71
D)55, 57, 61, 67, 75, 85

Question

Quizplus · Accepted Answer

The first difference sequence is an arithmetic sequence with a common difference of 2, starting from 2. To find the original sequence, we integrate the first difference sequence, taking into account that the third term of the original sequence is 61. Starting from the third term and working backwards and forwards using the differences, we find the first six terms of the original sequence.

Provide an Appropriate Response