0,3,8,15,24 how do i calculate the tenth term
Look at the differences between each term:
3, 5, 7, 9
Do you see the pattern?
Yes i do
After finding the differences how will i find the tenth term?
Just follow the pattern til you get to the 10th term
24 + 11 = 35
35 + 13 = ?
and so on
How did u get 24 11=35
What do you get when you add 24 and 11?
I mean How did u get 24+11
24 is the last number in your series. 11 is the next difference.
To calculate the tenth term of this sequence, we need to analyze the pattern and find a formula that describes the relationship between each term and its position in the sequence.
Looking at the given sequence 0, 3, 8, 15, 24, we can observe that each term is obtained by adding an increasing odd number to the previous term.
- The first term is 0.
- The second term is obtained by adding 1 (an odd number) to the first term: 0 + 1 = 1.
- The third term is obtained by adding 3 (the next odd number) to the second term: 1 + 3 = 4.
- The fourth term is obtained by adding 5 (the next odd number) to the third term: 4 + 5 = 9.
- The fifth term is obtained by adding 7 (the next odd number) to the fourth term: 9 + 7 = 16.
From this pattern, we can see that the difference between consecutive numbers is increasing by 2 each time.
To find the tenth term, we can calculate the difference between the first two numbers and then multiply it by (10 - 1) (since we are finding the tenth term from the first term):
Difference between the first two numbers: 3 - 0 = 3.
Tenth term = First term + Difference × (10 - 1)
Tenth term = 0 + 3 × 9 = 0 + 27 = 27.
Therefore, the tenth term of the given sequence is 27.