In an arithmetic sequence, the nth term an is given by the formula an=a1+(n−1)d, where a1is the first term and d is the common difference. similarly, in a geometric sequence, the nth term is given by an=a1•rn−1.
use these formulas to determine the indicated term in the given sequence.
the 19th term of 19,42,65,88

433

Step-by-step explanation:

The given sequence : 19,42,65,88,...

Here we can see that the difference in each of the two consecutive terms is 23.  [88-65=23, 65-42=23, 42-19=23]

i.e. it has a common difference of 23.

Therefore, it is an arithmetic sequence .

In an arithmetic sequence, the nth term an is given by the formula , where is the first term and d is the common difference.

For the given sequence ,  and

Then,  to find the 19th term of  the sequence, we put n= 19 in the above formula:-

Hence, the 19th term of  the sequence = 433

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?