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denpristay [2]
2 years ago
11

What is the 20th term of the linear sequence below? 15,7,-1,−9,−17

Mathematics
1 answer:
dybincka [34]2 years ago
7 0

Answer:

a₂₀ = - 137

Step-by-step explanation:

there is a common difference between consecutive terms , that is

7 - 15 = - 9 - (- 1) = - 17 - (- 9) = - 8

This indicates the sequence is arithmetic with nth term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 15 and d = - 8 , then

a₂₀ = 15 + (19 × - 8) = 15 + (- 152) = 15 - 152 = - 137

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