12. Find the sum of first 100 positive odd integers.

The number series 1, 3, 5, 7, 9, . . . . , 199.

The first term a = 1

The common difference d = 2

Total number of terms n = 100

step 2 apply the input parameter values in the AP formula

Sum = n/2 x (a + Tn)

= 100/2 x (1 + 199)

= (100 x 200)/ 2

= 20000/2

1 + 3 + 5 + 7 + 9 + . . . . + 199 = 10000

Therefore, 10000 is the sum of first 100 odd numbers.

Step-by-step explanation:

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First, we find the total amount of one-time insurance and leave benefits that Miguel receives from his employer annually. We have health insurance + life insurance + paid time off = 1 825 + 93 + 2 860 = $4 778 Now, for the monthly gross of $ 3 890, he receives an annual income of 12 x 3 890 = $46 680. Therefore. the total benefit package that he receives yearly is 4 778 + 46 680 = $51 458.