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
9q-4=3r-6
+4=+4
9r=3r-2
9/9=3r-2/9
r=3r-2/9
Solution:
60 x 2/3
60/1 x 2/3
120/3
40
Answer:
40
hope this helps!
<span>A rectangle has a length the area of the rectangle is 180(2w-9=180).Find the length and the width of the rectangle. Find the perimeter of the rectangle</span>
Answer:
Step-by-step explanation:
(2x^2+6x-8)(x+3)
2x^3+6x^2+6x^2+18x-8x+18
2x^3+12x^2+10x+18