Find the 52nd term of the arithmetic sequence -3, 12, 27, ...−3,12,27,...

762

Step-by-step explanation:

Notice that each new term is equal to the preceding term PLUS 15.  Thus, the common difference is 15 and the first term is -3.

The explicit equation for this sequence is

a(n) = -3 + 15(n - 1)

So the 52nd term is a(52) = -3 + 15(51) = 762

function 2 has a greater rate of change than function 1

function 2 has a greater y-intercept than function 1

step-by-step explanation:

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!