Answer:
see explanation
Step-by-step explanation:
The common difference d of an arithmetic sequence is
d = 
- 
= 
-
Substitute in values and solve for k, that is
5k - 1 - 2k = 6k + 2 - (5k - 1)
3k - 1 = 6k + 2 - 5k + 1
3k - 1 = k + 3 ( subtract k from both sides )
2k - 1 = 3 ( add 1 to both sides )
2k = 4 ⇒ k = 2
--------------------------------------------------------
The n th term of an arithmetic sequence is
= + (n - 1)d
= 2k = 2 × 2 = 4 and
d = 5k - 1 - 2k = 3k - 1 = (3 × 2) - 1 = 5
Hence
= 4 + (7 × 5) = 4 + 35 = 39
Answer:
7k
Step-by-step explanation:
The given expression is
We need to find the simplified form of the given expression.
Like terms: The terms which have same variables of same degree and known as like terms. For example: 2x and 4x are like terms.
The given expression can be rewritten as
On combining like terms we get
Therefore, the equivalent expression of the given expression is 7k.
Answer:
15.14 cm^2
Step-by-step explanation:
Area of rectangle = 4cm x 3 cm = 12cm^2
Radius of the circle = 2 cm
Area of 1/4 of a circle = (pi x r^2) / 4
= (3.14 x 4) / 4 = 3.14 cm^2
3.14 cm^2 + 12cm^2 = 15.14 cm^2
I think It's 0.9% I'm not sure though or 1.03%
