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kykrilka
1 month ago
10

Which functions represent the arithmetic sequence 8, 1.5, –5, –11.5 . . . ? Check all that apply. f(n) = –6.5n + 14.5 f(n) = –1.

5n + 9.5 f(n) = 6.5n + 1.5 f(1) = 8, f(n + 1) = f(n) – 6.5 f(1) = 8, f(n + 1) = f(n) – 1.5 f(1) = 8, f(n + 1) = f(n) + 6.5
Mathematics
2 answers:
PIT_PIT [12.4K]1 month ago
8 0
To determine which functions depict the arithmetic sequence 8, 1.5, -5, -11.5,... follow these steps:

<span>f(n) = –6.5n + 14.5... correct
f(1) = 8
f(2) = 1.5
f(3) = -5
f(4) = -11.5

f(n) = –1.5n + 9.5... incorrect
f(1) = 8
f(2) = 6.5

f(n) = 6.5n + 1.5... incorrect
f(1) = 8
f(2) = 14.5

f(1) = 8, f(n + 1) = f(n) – 6.5... correct
f(2) = 8 - 6.5 = 1.5
f(3) = 1.5 - 6.5 = -5
f(4) = -5 - 6.5 = -11.5

f(1) = 8, f(n + 1) = f(n) – 1.5... incorrect
f(2) = 8 - 1.5 = 6.5

f(1) = 8, f(n + 1) = f(n) + 6.5... incorrect
f(2) = 8 + 6.5 = 14.5

The valid functions are:
</span>f(n) = –6.5n + 14.5 and f(1) = 8, f(n + 1) = f(n) – 6.5.
Inessa [12.5K]1 month ago
5 0

Conclusion:

f(n) = –6.5n + 14.5

f(1) = 8, f(n + 1) = f(n) – 6.5

Thank you and please remember to tap that Thanks button.

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