Question

Find the 100th term in the arithmetic sequence 0,5,10,15

Answer 1

Answer:

easy peasy,

the 'n' th term of any arithmetic sequence can be found with the following formula

=> a + ( n-1) d, [where 'a' if the first term of the sequence, 'n' the number of term we need to find, and 'd' being the common difference between each two consecutive term of the sequence)

all in this case would be,

a = 0

n = 100

d = +5

hence the 100th term would be,

=>  0 + (100 - 1) 5

=> 99 x 5

=> 495