Answer:
Step-by-step explanation:
A)8
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:
22m
Step-by-step explanation:
Answer:
x=0.450765 or x=−0.950765
Step-by-step explanation:
14x² + 7x - 6
→ Find the product, sum and factors
Product = -6
Sum = 7
Factors = No factors
→ Since there are no factors utilise the quadratic formula

→ List the values of a, b and c
a = 14
b = 7
c= -6
→ Substitute into the formula

→ Simplify
x=0.450765 or x=−0.950765