The numbers in this sequence increase by 40 each time 30, 70, 110, 150. The sequence is continued with the same rule. Which numb

Question

3 years ago

5

er in the sequence will be closest to 300?

1 answer:

Zolol [24] · Answer 1 · 2022-10-21T12:54:43+03:00

The value in the sequence closest to 300 is 310

<h3>Arithmetic Sequence</h3>

Arithmetic sequence is a sequence where each term increases or decreases by addition or subtraction of a constant term

the first term a = 30

common difference, d = 40

which term is closest to 300 we solve like this

300 / 40 = 7.5 say 7

the 7th term, T7 is solved by

T7 = a + ( n - 1 ) d

T7 = 30 + ( 7 - 1 ) 40

T7 = 30 + 240

T7 = 270

checking for the 8th term to confirm the nearest

T8 = T7 + d = T7 + 40

T8 = 270 + 40

T8 = 310

therefore the 8th term is closest and the value is 310