Question

Find the explicit formula. 416, -24,-34.-24. a) a_n = 416 + (−20) ⋅ (n−1)

b) a_n = 416 + (−10) ⋅ (n−1)
c) a_n = 416 + 10 ⋅ (n−1)
d) a_n = 416 + 20 ⋅ (n−1)

Answer 1

a) a_n = 416 + (−20) ⋅ (n−1). The explicit formula for the given sequence is a_n = 416 + (-20) ⋅ (n-1), where n represents the position of the term in the sequence.

Step-by-step explanation:

The explicit formula for the given sequence is:

an = 416 + (-20) ⋅ (n-1)

where n represents the position of the term in the sequence.

For example, for the first term (n = 1), the formula becomes:

a1 = 416 + (-20) ⋅ (1-1) = 416

Similarly, for the second term (n = 2), the formula becomes:

a2 = 416 + (-20) ⋅ (2-1) = -24

You can use this formula to find any term in the sequence by substituting the value of n.