MATHEMATICS HIGH SCHOOL

PLEASE HELP, I HAVE TO PASS!!!!!!Position Value of Term
1 7
2 10
3 13
4 16
5 19
6 22

Which expression gives the number in the nth position in the sequence?
A) 2n - 2
B) 3n + 4
C) 4n - 1
D) 5n

Answers

Answer 1
Answer:

Answer:

Option B is correct

3n+4[/tex]

Step-by-step explanation:

The nth term for the arithmetic sequence is given by:

a_n = a_1 +(n-1)d              ....[1]

where,

a_n is the nth position

n is the number of term

a_1 is the first term and

d is the common difference.

Given the table:

Position(n)  Value of Term(a_n)

1                     7

2                     10

3                     13

4                     16

5                     19

6                     22

from the given table:

At n = 1 ,

a_1 = 7

At n = 2

a_2 = 10

at n = 3

a_3 = 13 and so on

Common difference(d) for the sequence is  3

Since,

d = a_2-a_1=a_3-a_2.....

⇒d = 10-7=13-10......... = 3

Substitute d = 3 and a_1 = 7 in [1] we have;

a_n = 7+(n-1)(3)

⇒a_n = 7+3n-3

⇒a_n =3n+4

Therefore, the expression gives the number in the nth position in the sequence is, 3n+4
Answer 2
Answer: 3n+4
3(3)+4
9+4
13
 is the B). 

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Answers

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Also:
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Answers

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Answers

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4

Answers

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Them

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\boxed{\boxed{log_4(4096)=6}}
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Answers

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_____

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Answers

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hope this helps at all.

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