Given:
and
where
.
To find:
The explicit formula for the given recursive formula.
Solution:
We know that recursive formula of an AP is:

Where, d is the common difference.
We have,

Here, d=9.
The first term of the AP is
.
The explicit formula for an AP is:

Substituting
and
, we get



Therefore, the required explicit formula for the given sequence is
.
Answer:
x = 0, -4 and -3.
Step-by-step explanation:
The given expression is "3x to the power of 3 + 21x squared + 36x = 0".
We can write this expression as follows :

Taking 3x common.

x = 3

Hence, the solution of the given quadratic equation are x = 0, -4 and -3.
Answer:
(2,16)
Step-by-step explanation:
y=8x-----------(i)
y= 10x-4---------(ii)
Substituting the value of y=8x in equation (ii)
8x=10x-4
8x-10x=-4
-2x= -4
x=2
Now, substituting the value of x= 2 in equation (i)
y=8x=8(2)=16
Solution of the system is (2,16)
Answer:
Step-by-step explanation:
B:Convert the fractional part only then add it to the whole number.
C : 9 1/2,3π,92/5,91/10
B : √26,5.5,5.8,31/5
B: -7,20/3, 7.1 ,√51 , 6π
C: -π , -√5 , -3/2,-1.03
When simplified the answer is -2n^3+13