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
Step-by-step explanation:
you first need to know what is mean .mean is when you add all the numbers up then divide them by 2
General formula of geometric sequence
an = am × r^(n-m)
a₂₄ is the number of cells after 24 hours, a₀ is the number of cells before doubling
a₂₄ = a₀ × r⁽²⁴⁻⁰⁾
a₂₄ = 1 × 2⁽²⁴⁻⁰⁾
a₂₄ = 2²⁴
Answer:
To determine Morgan's new balance at the end of the month?
it will be the sum of its, monthly percent amount, expense balance and the fixed monthly payment.
Credit limit = $1900
Annual percent rate = 14.99%
Monthly percentage rate = 14.99/12 =1.249%
which amount to = $300x1.249%/100 = $3.747
Minimum monthly payment = $300x4/100 = $12
Purchase balance = $300
Morgan's new balance at the end of the month = $23.734+ $12+$300
= $315.757 =31575cents