Answer:
Answer: Sum of first 90 terms is Option d. 11655
Step-by-step explanation:
We have to find the sum of first 90 terms of the sequence -4,-1,2,5,8......
First we find the 90th term of the sequence
As we know the formula A(n)= A(1)+(n-1)d
Given from the sequence
A(1) = (-4)
n=90
d = 3
So A(n) = -4+(90-1)3
= (-4)+89×3
= 263
Now we know formula for the sum of any sequence is
Sum S(n) = 
Now we know n= 90
A(1) = -4
A(n) =263
Now we put the value in the formula
S(n)= 
= 45×259
= 11655
Answer: Between the numbers -2 and -3
Step-by-step explanation:
The negative square root of 5 will be slightly greater than 2 because the square root of 4 is 2 and 5 is greater than 2. The negative square root of 5 will not be greater than -3 because 3 squared is 9. So it has to be between -2 and -3.
|7-10| = 3 (absolute value), then multiply to the negative sign. answer:-3
Answer:
Step-by-step explanation:


Since both equations have
, we can subtract the second equation from the first to try and solve for
:




With this, we can plug the value back into the first equation to solve for
:




Therefore, the solution is 
Step-by-step explanation:
(-13/3) / (-3/4) = 52/9 = 5 + 7/9.