The given sequence is
a₁ = 29
a₂ = 39
a₃ = 49
a₄ = 59
This sequence is an arithmetic sequence. Th first term is a₁ = 29, and the common difference is d= 10.
The n-th term is

The 33-rd termis
a₃₃ = 29 + (33 - 1)*10
= 29 + 320
= 349
Answer: a₃₃ = 349
Answer:
£1000, £1400
Step-by-step explanation:
Sum the parts of the ratio 5 + 7 = 12 parts
Divide the amount by 12 to find the value of one part of the ratio.
£2400 ÷ 12 = £200, thus
5 parts = 5 × £200 = £1000
7 parts = 7 × £200 = £1400
Answer:
Two distinct real solutions.
Step-by-step explanation:
Given the equation in the form
, you need to find the Discriminant with this formula:

For the equation
you can identify that:

Then, substituting these values into the formula, you get that the Discriminant is:


Since
, then
has two distinct real solutions.
Exact form: 10/9 decimal form: 1.111 mixed number form: 1 1/9