Question

if the pattern below follows the rule "Starting with nine,every consecutive line has a number one less than the previous line," how many marble must be in the seventh line

Answer 1

3

Explanation:

a p e x

Answer 2

3

Explanation:

Given that there is a pattern in the placing of marbles on the line

9 marbles on I line

8 on second, 7 on third etc.

We find that this follows an arithmetic sequence with I term = 9 and common difference = -1

Hence marbles on 7th line

=value of 7th term in arithmetic sequence

=a+(n-1)d

Here a= I term =9

n = line to be determined = 7

d = -1

Substitute to get

9+(7-1)(-1)

=3

Hence 3 marbles is the answer.