Question

o a) {an} is arithmetic with Aug = 18, a=-4. Find any b) {anz is arithmetic with aq=7, 9,1 = 313 . Find the common difference d. For this sequence. 00 C) Find 8 14-1 d) Find { (2) K-1 K1 K=3 e) Find } 4th, 3n-1 f) Find 2+4+6+8+...+ 96 +99+100 n=2 a) Find 1501 + 1502 toont 2999+ 3000 - b) If you invest $100 in an account that pays 1.2% annual interest compounded monthly, how much with this be worth in 10 years? c) Same set up as b. How long will it take to triple the original investment? d) If you can afford a 8400 / month car payment, how much borrow if the loan You is for 5 years and the interest rate is 6% annual interest companded monthly? can

Answer 1

のち term is given by arithmetic sequence an= a + (n-1)d d 9, +48d = 18 P 949 a, + (49-1) 2 (5-1) d alt a 5 1 € (2 we get solve 9.+40 2-4 (a, +48d) - (9,744) = 18-647 44 d = 22 d = 0.5 CS Scanned with CamScanner

put d=0.5 in ③ 9, + 410.5)=-4 A1 = -4-2 = -6 0 917= 9,+ (17-1)d = a + (16)d - 6+ (16)x 0.5 = 2 9,7=2 9,780 = 7 - 5) ag a,+ (9-1)d aslu = 313 91+llod ait (111-1)d 7 - 313 Solving OG (21+8d) - (9, +1100) -102d = 306 d=3 o's d=3 ЕРІ + .) 14)*1. 12. 1994 (1) + (:)*... (+)+ (%)'+()+()+ I + Ź + ce sunt izj3 Infinite geometric series a, a first term=1 8= o and Here ai -- 2 Sum 1-y I-a .: 674. a. K2 CS Scanned with CamScanner

d) find Ê (4)63 )84+ (5)*76794--. - ()+ (%) + ()*+ b3 + - (4)[+ + ($)+(4)+ ---J [Taking (1/2 یا ) common 42 < 2 is exactly - ( ) +2 Inner term like previous feries answer is 2. = 12 X2 K- is ( ) = E k=3 2 3 어 E 3 4 e) Š , 3 ho2 4? 1=2 E ($).(4) Ê (3) n-2 whe no ماما ai ai (+() + ()*+(+---] (2) 1-64) & 4. Х 1-Y re 3/4 in n-/ li e 4 3 = 3 9 3 n=2 4 22 -+96+98 +100 f) 2+4 +6+8+ Taking a common 22 (1+2+3+4 ---- +48 +49+50) [ First n numbers = 2 x 50 (50+1) 2550 sum is n(n+1) CS Scanned With à n=50 . Sum=2550 CamScanner