MULTIPLE CHOICE 9th grade math: help me find the formula to the nth term:
1 answer:
Answer:
= - 5n - 2
Step-by-step explanation:
There is a common difference between consecutive terms, that is
- 12 - (- 7) = - 17 - (- 12) = - 5
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 7 and d = - 5, then
= - 7 - 5(n - 1) = - 7 - 5n + 5 = - 5n - 2
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Given:
f(x) is an exponential function.
To find:
The value of f(0.5), to the nearest hundredth.
Solution:
The general exponential function is
For, x=-0.5,
...(i)
For, x=1.5,
...(ii)
Divide (ii) by (i).
Taking square root on both sides, we get
Putting b=0.882 in (i), we get
Now, the required function is
Putting x=0.5, we get
Therefore, the value of f(0.5) is 23.81.