4) Below, see the first few figures in a sequence along with their number (in the first set of square numbers, you see the term or figure number along with the term). Determine the number of dots or squares (term) in the next four figures for each, and - if possible - in the nth figure. (Generalize). a) Square numbers
4) Below, see the first few figures in a sequence along with their number (in the first set of square numbers, you see the term or figure number along with the term). Determine the number of dots or squares (term) in the next four figures for each, and - if possible - in the nth figure. (Generalize). a) Square numbers
Chapter12: Sequences, Series And Binomial Theorem
Section: Chapter Questions
Problem 327PT: Find the twenty-third term of an arithmetic sequence whose seventh term is 11 and common difference...
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![4) Below, see the first few figures in a sequence along with their number (in the first set of square numbers, you
see the term or figure number along with the term). Determine the number of dots or squares (term) in the
next four figures for each, and – if possible - in the nth figure. (Generalize).
a) Square numbers
or
figure
3
4
1
4
9.
16
25
36
b) Triangular Numbers
figure 1
figure 2
figure 3
figure 4
or
1
10
OR
c) Pentagonal numbers
figure 1
figure 2
figure 3
figure 4
1
12
22
36
127
[36]
O O 0 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd0ad538e-d18c-4155-9435-a809bce6916d%2F7dfb7ecc-5279-4573-bd7e-38eba62f139a%2F56az5zn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4) Below, see the first few figures in a sequence along with their number (in the first set of square numbers, you
see the term or figure number along with the term). Determine the number of dots or squares (term) in the
next four figures for each, and – if possible - in the nth figure. (Generalize).
a) Square numbers
or
figure
3
4
1
4
9.
16
25
36
b) Triangular Numbers
figure 1
figure 2
figure 3
figure 4
or
1
10
OR
c) Pentagonal numbers
figure 1
figure 2
figure 3
figure 4
1
12
22
36
127
[36]
O O 0 0
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Step 1 : b) Square
a)
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