Write the explicit formula for the sequence below and use it to find the 47th term: -3, 5, 13, 21, . . .

Given:

The sequence is:

To find:

The explicit formula for the given sequence then find the 47th term.

Solution:

We have,

The difference between two consecutive terms are:

The given sequence has a common difference. So, the given sequence is an arithmetic sequence with first term -3 and common difference 8.

The explicit formula for an arithmetic sequence is:

Where, a is the first term and d is the common difference.

Putting and in the above formula, we get

Putting , we get

Therefore, the explicit formula for the given sequence is and the 47th term is 365.

$450

step-by-step explanation:

first, you have to multiply 150x2=300

next, you have to add 150+300= 450

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?