Answer:
k=2
Step-by-step explanation:
3^k*2 * 3^-k+2 = 81
Factor out 81 to be : 3^4
Rewrite the equation:
k*2 - k+2 = 4
k^2 - 2k = 4
Simplify : k+2 = 4
<u> - 2 - 2</u>
k = 2
Answer:
a. 14
Step-by-step explanation:
make equations
2x this is how old trinity is
x + 2x =42 their ages combined, solve equation
3x =42
14
Answer: 9x^3 y^4 sqrt -3y
The explicit formula is a(n) = 15(n – 10)
<u>Solution:</u>
Given, a term a(19) = 135 and common difference d = 15
We have to find the explicit formula.
Now, we know that, a(n) = a + (n – 1)d where a(n) is nth term, a is first term, d is common difference,
So, for a(19)

Now, we know that, an explicit formula is an expression for finding the nth term,
So, in our problem, expression for finding nth term is a + (n – 1)d

Hence, the explicit formula is a(n) = 15(n – 10).
Answer:
Step-by-step explanation:
105