Question

arithmetic sequence

Answer 1

The answer is C, but why?

Answer 2

Correct, because the difference is 3...

Answer 3

If we assume that first term is let \(a_{1}\) and common difference is d, then, nth term would be:

\[\large{a_{n} = a_1 + (n-1)d}\]

You are given that first term is 2. So:

\[\large{a_1 = 2}\]

Now you are given that tenth term is 29. So:

\[\large{a_{10} = a_{1} + (10-1)d}\]

\[\large{\implies 29 = 2 + 9d}\]

\[\large{\implies 9d = 27}\]

\[\large{\implies d = ? }\]

Using the value of d, then find out the 20th term:

\[\large{a_{20} = a_{1} + (20-1)d}\]

\[\large{a_{20} = 2 + 19d}\]

Using the value of you calculated above find out \(\large{a_{20}}\)

Answer 4

thanks