Given a20=100 and a50=400 identify the common difference “d”

a20=a+19d

or,100=a+19d

or, a=100-19d(I)

again,

a50=a+49d

or, 400=a+49d

or, a=400-49d(ii)

equating equations,we get

100-19d=400-49d

or, 30d=300

so, d=10

Step-by-step explanation:

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step-by-step explanation:

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.