Question

How many terms are in the expansion (a + b)^18.

Answer 1

(a+b)^2 has 3 terms

(a+b)^3 has 4 terms

(a+b)^4 has 5 terms

See the pattern?

Answer 2

no

Answer 3

The exponent on (a+b)^2 is 2

There are 3 terms.



The exponent on (a+b)^3 is 3

There are 4 terms.



The exponent on (a+b)^4 is 4

There are 5 terms.



This pattern continues...

Answer 4

In general, if the exponent is k, then there are k+1 terms.