How many terms arc there in the arithmetic sequence 2 5 8 mi

How many terms arc there in the arithmetic sequence 2, 5, 8, middot middot middot, 299 ? 9. How many different nine-letter \"words\" can be made from the letters in \"LOUISIANA\"? 10. Find the 98^th term in the sequence: 4,0, - 4, - 8,

Solution

8) 2 , 5 , 8.....299

A.P. common difference = 5-2 =3

an = a1+(n-1)d

299 = 2 + (n-1)3

299 = 2 +3n -3

3n = 300

n = 100 terms are prsesent in series

10) 4, 0, -4 , -8

common diff , d = -4 ;a1 = 4

an = a1 +(n-1)d

= 4 +(98-1)(-4)

= 4 - 388

= -384