The ratio of money in Terry's bank account to Faye's bank account was 3:5. Terry then put £220 in his account and Faye withdrew £300 from her account.
They now had the same amount in their accounts.
How much did Terry initially have?

Terry's initial amount = £780

Step-by-step explanation:

Given that:

Ratio of Terry's money to Faye's money = 3 : 5

Let,

x be the amount of money.

Terry's amount = 3x

Faye's amount = 5x

Now,

3x + 220 = 5x - 300

220+300 = 5x - 3x

520 = 2x

2x = 520

Dividing both sides by 2

Terry's initial amount = 3x = 3(260) = £780

Hence,

Terry's initial amount = £780

the reporter's right

step-by-step explanation:

1/4 = .25 / 25%

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for