9. a = 2, a,+1 = (-1)+'a,/210. a, = -2, a+1 = na,/(n + 1)11. aj = az = 1, an+2 = an+1 + an12. aj = 2, az = -1, a+2 = a+1/a,Finding a Sequence's FormulaIn Exercises 13-30, find a formula for the nth term of the sequence.13. 1,-1, 1,-1, 1, ...14. -1, 1,-1, 1, -1,...I's with alternating signs1's with alternating signsSquares of the positiveinor15. 1,-4, 9,-16, 25, ...integers, with alternatingbosignsReciprocals of squares ofthe positive integers, withalternating signsPowers of 2 divided by1 11 116. 1,-4 9'16' 251 2 22 23 2417.9' 12' 15' 18' 21 *0 multiples of 3Integers differing by 2divided3 113518.-2 6' 12' 20' 30**ts gmoerconsecutive19. 0, 3, 8, 15, 24, .. . oolnoquares of the positiveintegers diminished by 1Integers, beginning with-321. 1, 5, 9, 13, 17,.. gu nl aEvery other odd positive20. -3,-2,-1, 0, 1,...a integer d nEvery other even positiveintegerIntegers differing by 322. 2, 6, 10, 14, 18, ...58 11 14 1723.I'2 6 24 120divided by factorials18 2724.25' 125' 625'3125' 15,625**125Cubes of positive integersdivided by powers of 564Alternating l's and 0'sEach positive integer1o Trepeated25. 1,0, 1, 0, 1,...26. 0, 1, 1, 2, 2, 3, 3, 4, ...1 15' 5 6la so11 11 127. - ---113'3 4'428. V5 - VA, V6 - V5, V7 - V6, V8 - V7...V3V4V529. sin+ 4,sin+9sin1+16sin1+ 255 76.1130.V8' V11' V14 V 17*Convergence and DivergenceWhich of the sequences {a,} in Exercises 31-100 converge, anwhich diverge? Find the limit of each convergent sequence.n+ (-1)"31. a, = 2 + (0.1)"32. а, —2n + 11- 2n33. an =1+ 2n34. an1- 3Vn

Name: 9. a = 2, a,+1 = (-1)+'a,/210. a, = -2, a+1 = na,/(n + 1)11. aj = az
Uploaded: 2024-03-20T06:38:58.000Z
Channel: Bartleby
Description: 9. a = 2, a,+1 = (-1)+'a,/210. a, = -2, a+1 = na,/(n + 1)11. aj = az = 1, an+2 = an+1 + an12. aj = 2, az = -1, a+2 = a+1/a,Finding a Sequence's FormulaIn Exercises 13-30, find a formula for the nth term of the sequence.13. 1,-1, 1,-1, 1, ...14. -1,

some sequence are given, we have to find sequence formula

Math

Calculus

In Exercises 13-30, find a formula for the nth term of the sequence. 13. 1,-1, 1, -1, 1, . . . I's with alternating signs 14. -1, 1,-1, 1,-1,... 1's with alternating signs Squares of the positive integers, with alternating signs Reciprocals of squares of the positive integers, with alternating sisgns 15. 1,-4, 9,-16, 25, ... 16. 1, 4 9' 16' 25'