Answer:
<h3>1</h3>
Step-by-step explanation:
The nth term of an exponential sequence is expressed as ar^n-1
The nth term of a linear sequence is expressed as Tn = a + (n-1)d
a is the first term
r is the common ratio
d is the common difference
n is the number of terms
Let the three consecutive terms of an exponential sequence be a/r, a and ar
second term of a linear sequence = a +d
third term of a linear sequence = a + 2d
sixth term of a linear sequence = a + 5d
Now if the three consecutive terms of an exponential sequence are the second third and sixth terms of a linear sequence, this is expressed as;
a/r = a + d ..... 1
a = a + 2d ..... 2
ar = a+ 5d .... 3
From 2: a = a + 2d
a-a= 2d
0 = 2d
d = 0/2
d = 0
Substitute d = 0 into equation 1:
From 1: a/r = a + d
a/r = a+0
a/r = a
Cross multiply
a = ar
a/a = r
1 = r
Rearrange
r = 1
<em>Hence the common ratio of the exponential sequence is 1</em>
Answer:
A = 6 mi^2
P = 12 mi
Step-by-step explanation:
Answer:
A) 

Step-by-step explanation:
When given a balanced scale (represented by a hanger in this image), the sum of the values on one side equals the value on the other side. Thus, the equation that this hanger represents is the following:

Use inverse operations to solve this equation,



Answer: its C
Step-by-step explanation:
Answer:
The total value is £268.20.
Step-by-step explanation:
Given : There are 495 coins in a bottle.
1/3 of the coins are £1 coins.
124 of the coins are 50p coins.
The rest of the coins are 20p.
To find : Work out the total value of the 495 coins?
Solution :
According to question,
Total coins = 495
of the coins are £1 coins.
i.e. The number £1 coins are

So, We have £165
124 of the coins are 50p coins.
50p=£0.50
Number of coins were

So, We have £62 .
Remaining coins were,

i.e. remaining coins are 206 are of 20p.
20p=£0.20
Number of coins were

So, We have £41.20 .
Now, Adding all of them together,
i.e. £165+£62+£41.20=£268.20
So, The total value is £268.20.