Paul, colin and brian are waiters. one night the restaurant earns tips totalling £78.40. they share the tips in the ratio 2: 1: 5. how much more does brian get over colin? how much more does colin get over brian

Step-by-step explanation:

The total of ratio units is 2+1+5 = 8. Brian gets 5 and Colin gets 1, so Brian gets (5-1) = 4 ratio units over Colin. Of the total tips, that is 4 of 8 ratio units or 4/8 = 1/2 of the tips:

  Brian over Colin = (1/2)(£78.40) = £39.20

The amount Colin gets over Brian is the opposite of this: -£39.20.

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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

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