Find the 74th term in the sequence: 83,79,75 show work
1 answer:
Answer:
a₇₄ = - 209
Step-by-step explanation:
There is a common difference between consecutive terms , that is
79 - 83 = 75 - 79 = - 4
This indicates the sequence is arithmetic with nth term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 83 and d = - 4 , then
a₇₄ = 83 + (73 × - 4) = 83 + (- 292) = 83 - 292 = - 209
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