Find the 15th term in the following arithmetic sequence
1, 6, 11, 16, ...

15th term is 71

Step-by-step explanation:

Explicit Rule for arithmetic sequence is: Tn = a + (n - 1)*(d), where a is the first term and d is the common difference

The first term is 1, hence a = 1

The common difference is 5 (6 - 1 = 5, 11 - 6 = 5...), hence d = 5

Tn = 1 + (n - 1)*(5)

We are trying to find the 15th number.

T₁₅ = 1 + (15 - 1)*(5)

     = 1 + (14)*(5)

     = 1 + 70

     = 71

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!

3

step-by-step explanation: