11.2 ws answers
Transcription
11.2 ws answers
PreCalculus (H) 11.2 worksheet "Arithmetic Sequences" .-/ Find the cofirmon difference and write out the first 4 terms. t1 lzn-s\ D 4_ d'- -> -/ti t,l -4 "r 1, a,=2; d=3 Qo,, .L+ (.n ",) 3 L(nr 3rr -t '- 3Ls) - Q.ny? bjr0 5) a,:5; d:-3 6) /1 a=0: -- 5 +'Ltt -,\/*s) Li.n. *- - ],r '{- !i Arr I I l, .-t/ -! fl-,,r ,!i* -j (:t,i,, . ltLtu -l(-.i) tl. -- d:l -- L)* '- Q; = I ;t (S-Xil /t, d,=')l l, c'' t' Q,, ,- J (r.r,-- -3-r)+3 cl.'- ,)- / ' !!(!,1 l2\.1 Find the indicated term in each arithmetic sequence. 8) 12th termof 2,4,6,... 9) L0th term of L,-2,-5,... A.,'-)- s 3) -zn\ ,l'-.-l I ',J-, 16 '/ //_ C,, l 7tr, :,t 4 D a?: Ja; d=Ji 2 ci,, = -l\7"r- /s,, -Y,y /4.rt Gt(,f -)lF ltl)->* rC) Ya,U) -Yt 10) 8th term 6[, ('l* - = L( of a, a+b, a+2b,... 1il-= h Find the sum. L4) 2+ 4+ 6+...+70 7 IL "')* '10 > e+(n-')f Q,', di,( d,)- $f,'- ., r('"i)'1 7(l , ,]*t,l,. -I 10 = 16) 1+3+5+....+(2n-l) 15) 5 +9 +13+...+ 49 ! [r* ]- .r ct, '- t Sn *ttr: 5-trln'{ T',' = [ .r-(n -,) )- '),^'- ;l r ,+q -- l+'r,n +g = ttt\ l-n -) t>'t\ Use a calculator to find the sum of each sequence. 18) 2.8 +5.2+7.6+...+36.4 (19) 4.9 +7.48+L0.06+...+66.82 fi\ $.a5n+4.121,n=20 tq ar-J.-v c[ -- ].1 't.i + (n-,)).1 * \ o;,r '- ]4 i -t t;'r*'t';z tt" q -- A.trr (,r -D r 1 it".q -- l.. 1n t .'1frj''(lj:!t,',),,rY"'- 3 7 r \';{rt \-2-- /'' l';'''r; : i'3>:& 'i'j\ ^? t .-)i.:"t. 20) The Drury Lane Theater has 25 seats in \ rr--tsL) ,\ Lr-t(rr-r) i'x" WM '- Q,, s.-q iq 2 I\ 2 s-'n'P t -t' successive ro#b ar Atu:fY 5r., A | all. Eaih i:,',- A, . 7"1 p 30 i' I ' *' -- i't'tt>' €@ i*-2, -!,",,1::^..,:^"_kfuffff: the first row and 30 rows in additional seat. How many seats are in the theater? A,r Lq Cl--l Qu, ,- - @ -- + Y-'t f\-t' a)/ ,t' --....-.--- - 2l) The corner section of a football stadium has 15 seats in the first row and 40 rows in all. Each successive row contains two additional seats. How many seats are in this section? (i,- ii ,l t).- t:- + [vt -) ] A,,'. '* ;7, i- )n A," +r Lt\i;l-n /\- ,t T-''. @-) l in the corner section of a stadium containing 2040 seats if the first row has and each successive row has 4 additional seats? 22) How many rows are -"v e_, -- to d -- ,) d,t -- lO t lru'4 .(*\ Vgir) -W, tb,y*L I _ -"'-\: \L r'4a ) @ f,1{1G,*\ I CLr Qt\ 1,0 seats l'JA\.ll 5 ,\ ,'i / -- ( 'r-:l:::),, ' '/ -L U L1,it. 2- ({,n. * "n1t o j ')-n,I r'{'+ -}-tu"rJ \ O :;,'{\) Y'i1"n - itt}<)