Answer:
1. 13, 17 Option D
2. -2 Option B
3. 2 Option C
4. F(n) = 3+4(n-1) Option D
Step-by-step explanation:
1.
Given sequence is: 1, 5, 9....
Common difference = 5-1 = 9-5 = 4
Next term is :
9+4 = 13
and
13+4= 17
So, next two terms are: 13 & 17.
2.
Given sequence is :
102, 100, 98, 96....
Common difference = 100 - 102 = 98 -100 = 96 - 98 = -2
3.
Given rule is :
Aₙ = -14 + (n - 1)(2)
Find the 9th term
so, we put n = 9
A₉ = -14 + (9-1)*2
A₉ = -14 + 8*2 = -14 + 16
A₉ = 2
Ninth term is 2.
4.
Given sequence is:
3, 7, 11, 15.....
Write the nth term
Formula is :
F(n) = a₁ + (n-1)d
Where a₁ is first term
n is number of terms
d is common difference
a₁ = 3
d = 7-3 = 11-7 = 15 - 11 = 4
So nth term is :
F(n) = 3 + 4(n-1)
That's the final answer.
