C EoR 11.1.2:Scque basics Define the sequence fak, beginning with a1-7 7, 10, 13

Question

C EoR 11.1.2:Scque basics Define the sequence fak, beginning with a1-7 7, 10, 13, 16, 19, 22, 25 1) What is a2? Correct 10 10 Check Show answer Since the initial index is 1, a2 is the second term in the sequence. 10 is the second term in the sequence. 2) What is the index of the term 16 in the sequence? Check Show answer 3) What is the final index of the sequence? Check Show answer Consider the sequence defined by the formula b is the third term in the sequence? k2 for k 2 2 What Check Show answer

Explanation / Answer

Here the sequence was given {ak}, beginning with a1=7

So the values can be arranged with index as

Value

7

10

13

16

19

22

25

K-Value

1

2

3

4

5

6

7

Question – 1     What is a2?

Answer : 10

Explanation: Since the list starts with the index 1 so in 2nd index we will get the value 10

Question – 2         What is the index of the term 16 in the sequence?

Answer : 4

Explanation : From the above figure it’s clear that the index of 16 is 4.   OR Since the first index is 1 so index of 16 will be 4

Question – 3 What is the final index of the Sequence ?

Answer : 7

Explanation : Since the sequence starts with 1 and the sequence having 7 elements so the last index of the sequence will be 7. For more clarification you may observe the table given above.

Question – 4 Consider the sequence defined by the formula bk=K2 for k>=2 . What is the third term in the sequence?

Answer : 16

Explanation : Since its given that the sequence is defined by bk=k2 for k>=2

So the first element will be for k=2 , element is 4

Second element will be for k = 3 , element is 9

Third element will be for k = 4 , element is 16

Value

7

10

13

16

19

22

25

K-Value

1

2

3

4

5

6

7

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