f.1 mathematics

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1. The cost of tea A is $3y per gram while the cost of tea B os $2x. Now, 2x fo tea A are mixed with y grams of tea B.
(a) Find the total cost of the mixed tea.

Cost of tea A/gram = $3y
Cost of tea B/gram = $2x

Cost of mixed tea
= 2x (cost of tea A/gram) + y (cost of tea B/gram)
= 2x (3y) + y (2x)
= 6xy + 2xy
= 8xy

So the mixed tea cost is $8xy.

2. Consider the following sequence 7,13,25,49...
(a) the nxt two terms is...

Consider
7 = (20)6+1
13 = (21)6+1
25 = (22)6+1
49 = (23)6+1
The next two terms is
(24)6+1 = 97
(25)6+1 = 193

(b) what is the general term of it?

As from above, the general term is (2i)6+1 where i is any natual number.