Question

Find an equation for the nth term of the arithmetic sequence.
14th term = -33
15th term = 9

Answer 1

a+13d=-33
a+14d=9
where a is first term and d is common difference.
Now, for nth term use a+(n-1)d. Put values of a and d from the above two equations.

Answer 2

d = -24 ... ???

Answer 3

I'm not quite following

Answer 4

d=9-(-33)=42

Answer 5

ohh gotcha!

Answer 6

so d = 42
so the 14th term is -33
-33 = a + (14 -1)42
-33 = a + (13)42
-33 = a + 546
-33 - 546 = a
-579
check:
15th term (n = 15)
-579+ (15 - 1)42 = ?
-579 + (14)42 = ?
-579 + (588) = ?
=9
so a = -579 d = 42 equation is
-579 + 42(n-1)

Answer 7

@BPDlkeme234 wow! I really appreciate that!

Answer 8

Elementary! LOL