Answer:
1370
Step-by-step explanation:
<h3>Given</h3>
- AP with d= 7 and a₂₂ = 149
<h3>To find</h3>
<h3>Solution</h3>
<u>First, let's get the value of the first term:</u>
- aₙ = a + (n-1)d
- a₂₂ = a + 21d
- 149 = a + 21*7
- a = 149 - 147
- a= 2
<u>Next, let's find the sum of the first 20 terms</u>
- Sₙ = 1/2n(2a+ (n-1)d)
- S₂₀ = 1/2*20(2*2 + 19*7) = 10(4 + 133) = 10*137 = 1370
<u>Answer is</u> 1370
Answer:
22 meters
Step-by-step explanation:
Area of yellow rectangle: 6x4=24
Area of gray rectangle: 8x=24
x=3
Thus, the perimeter is 3+3+8+8, which is 22.
Answer:
f(3) ≈ 17.310
Step-by-step explanation:
e = 2.71828
Step 1: Define
f(x) = e2x - 1 + 2
x = 3
Step 2: Substitute and evaluate
f(3) = e2(3) - 1 + 2
f(3) = 6e + 1
f(3) = 16.3097 + 1
f(3) = 17.3097
f(3) ≈ 17.310
The point in between is (1,2)
Answer:
168
Step-by-step explanation:
