Answer:
a) possible progressions are 5
b) the smallest and largest possible values of the first term are 16 and 82
Step-by-step explanation:
<u>Sum of terms:</u>
- Sₙ = n/2(a₁ + aₙ) = n/2(2a₁ + (n-1)d)
- S₂₀ = 20/2(2a₁ + 19d) = 10(2a₁ + 19d)
- 2020 = 10(2a₁ + 19d)
- 202 = 2a₁ + 19d
<u>In order a₁ to be an integer, d must be even number, so d = 2k</u>
- 202 = 2a₁ + 38k
- 101 = a₁ + 19k
<u>Possible values of k= 1,2,3,4,5</u>
- k = 1 ⇒ a₁ = 101 - 19 = 82
- k = 2 ⇒ a₁ = 101 - 38 = 63
- k = 3 ⇒ a₁ = 101 - 57 = 44
- k = 4 ⇒ a₁ = 101 - 76 = 25
- k = 5 ⇒ a₁ = 101 - 95 = 16
<u>As per above, </u>
- a) possible progressions are 5
- b) the smallest and largest possible values of the first term are 16 and 82
hey mate,
Option c is correct , because
2 is rational number
<h3>plz mark me as brainliest </h3>
Answer:
B is the correct option.
Step-by-step explanation:
We have to find the inverse of the logarithmic function
Below are the steps to find the inverse:-
Step 1:-
Set f(x) =y
Step 2:-
Interchange x and y
Step 3:-
Solve for y
We know the relation:-
If
Using this relation, we have
b=2
Step 3:-
The value of y is the inverse of the function.
B is the correct option.
Answer:
x=8.8
Step-by-step explanation:
Cross multiply
4/5=x/11
5*x=4*11
5x=44
Divide by 5 on both sides
x=8.8
Or, multiply both sides of the equation by 11
4/5=x/11
11*4/5=x/11*11
8.8=x
Hope this helps! :)
Answer:
Option A
radius = 13 units
height = 20 units
Volume of the cylinder = πr²h
= π (13)² ×20
=3380π cu. units