Convert the following common fractions to decimals. round to three decimal places if necessary. 1/2 = a)1.2 b)0.2 c)0.5 d)0.05

0.5

Step-by-step explanation:

The decimal 0.25 represents the fraction 25/100. Decimal fractions always have a denominator based on a power of 10. We know that 5/10 is equivalent to 1/2 since 1/2 times 5/5 is 5/10. Therefore, the decimal 0.5 is equivalent to 1/2 or 2/4, etc.

0.5

Step-by-step explanation:

You first divide 1 by 2. This is near impossible. So the first figure is 0. Then adding 0 to 1 makes it 10. Then you divide 10 by 2. It gives 5. Thus, the final answer is 0.5.

, 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

combine all like terms then its just a 2 step equation