Answer:
k = 5
Step-by-step explanation:
First three terms of an AP are 3k-1, 4k+1, 6k-2.
First term is 3k-1
For an AP,
a₂-a₁=a₃-a₂
4k+1-(3k-1)=6k-2-(4k+1)
4k+1-3k+1=6k-2-4k-1
k+2=2k-3
Separating like terms,
k-2k=-3-2
-k=-5
k = 5
So, the value of k is 5.
Can you go close to the first question
Answer:
<u>(3w + 7)² or (3w + 7)(3w + 7)</u>
Step-by-step explanation:
<u>Identity</u>
- a² + 2ab + b² = (a + b)² = (a + b)(a + b)
<u>Solving</u>
- 9w² + 42w + 49
- (3w)² + 2(3w)(7) + (7)²
- <u>(3w + 7)² or (3w + 7)(3w + 7)</u>
money going out (20.38+11.48+19.50) =51.36
balance - out = new balance
65.40-51.36 =
14.04
new balance = 14.04