Ask Question
21 December, 23:41

Given the sequence: 8, 11, 14, 17, ..., determine the 84th term and the sum of the first 59 terms.

+2
Answers (1)
  1. 22 December, 01:17
    0
    It can be seen that the difference or subtraction between two successive terms of the sequence is always equal to 3.

    11-8 = 3.

    14-11 = 3.

    This means that the following term is always equal to the previous term plus three.

    Knowing this you can draw a formula or "rule" for succession.

    Assuming that the term 0 or X0 of the sequence is 8, then:

    X (n) = 8 + 3n.

    So, the term 84 is:

    X (84) = 5 + 3 * (84).

    X (84) = 260.

    The series would be:

    ∑ 8 + 3x. from x=0 to x=59

    The result of that sum is: 5790
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Given the sequence: 8, 11, 14, 17, ..., determine the 84th term and the sum of the first 59 terms. ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers