1.5 $$ 3 ; 8 ; 15 ; 24 $$ What is the next term in the pattern? A 33 B 35 C 83 D 28

Question

UpStudy AI · Accepted Answer

Given the sequence: $$3, 8, 15, 24$$

1. Calculate the differences between consecutive terms:
   - $$8 - 3 = 5$$
   - $$15 - 8 = 7$$
   - $$24 - 15 = 9$$

2. Notice that the differences are: $$5, 7, 9$$ which are consecutive odd numbers increasing by $$2$$.

3. The next difference should be:
   $$
   9 + 2 = 11
   $$

4. Add this difference to the last term in the sequence:
   $$
   24 + 11 = 35
   $$

Thus, the next term in the pattern is $$35$$, which corresponds to option B.
The next term in the pattern is 35.

1.5 \( 3 ; 8 ; 15 ; 24 \) What is the next term in the pattern? A 33 B 35 C 83 D 28