Question

Please help!! Medal!!
Find the 500th term of the sequence below.
24,30,36,42,48,....
a.3018
b.3024
c.3042
d.2994

Answer 1

the first term is 24.the next term is 24+6. so common difference is 6.
then use this formula to find the 500th term.\[a_{n}=a _{1}+(n-1)d\]

Answer 2

an=a1 +(n-1) 6

Answer 3

B

Answer 4

an=24+499*6

Answer 5

How did u get 499?? @amirreza1870

Answer 6

your n is 500 so n-1 is 499.

Answer 7

Does it always to be subtract 1? @amirreza1870

Answer 8

ye.s if you want to find 150th (n) term of your arithmetic sequence you should multiply common difference by 149 (n-1) and add the value of this multiplication to the first term.
an=a1+(n-1)d