20 teachers selected sun rise beach. 12 teachers selected Mkapa bridge and St. Anthony's area. 16 teachers selected St. Anthony's area and Sun rise beach. 5 teachers selected all the three places. Each teacher selected at least two places. ( a) How many teachers selected Sun rise beach and Mkapa bridge (b) How many teachers were there?​

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6 hours 48 min

step-by-step explanation:

68÷5=13.6

13.6×30=408min=6 hours 48 min.

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, 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