Question

361,354,347, ...
Find the 47th term.

Answer 1

39.

Explanation:

This is an arithmetic sequence with common difference -7

47th term = a + d(n - 1)

= 361 - 7(47-1)

= 39.

Answer 2

This is an arithmetic sequence with a common difference given by d= -7

I will start by defining my first term as u⁰=361

Now we have to think, if u⁰ is my 1st term than my 47th term would be u⁴⁶ not u⁴⁷ since i start counting from 0 and not 1.

Using the relation that describes the implicit relation of an arithmetic sequence, i can say:

u(n)=u⁰+nd where n is any number

u⁴⁶=u⁰+46d

u⁴⁶=361+46(-7)

u⁴⁶=361-322

u⁴⁶=39