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1) White a recursive rule for the following sequence :-8, - 3,24, - 72, 1728.. 2 ) Find the sum of the given series ,
1) White a recursive rule for the following sequence :-8, - 3,24, - 72, 1728.. 2 ) Find the sum of the given series , if they exist . If not , explain why ( 9 ) 5 ( 1 - K + K 2 - k 3 ) K= 1 6 ) - 12 - 8 - 4 + 0 + 4 + 8 + 12 + ... + 124 ( c ) 750 - 150 + 30 -.... 3 ) Let an be a geometric sequence such that ay= 48 and 95 = 96. Find the sum of the first 7 terms of the sequence. 4 ) Consider an arithmetic sequence with 3 and 148 as its first term and last term respectively . If the sum of the first 5 terms of this arithmetic sequence is 65, find the sum of the last terms of this sequence. 5 ) you are computing partial sums of the arithmetic sequence given below . what is the minimum # of terms needed to make a total value of 2814? 108 + 106 + 104 + 102+ ... 6 ) In an arithmetic sequence ay = 11 and 913 = 32 . If an = 326 , what is n ? 7 ) An arithmetic sequence has 35 terms which sum to 2555. What is the middle (18th ) term in the Sequence ?8 ) In a geometric sequence, ak= 17, ax+ 2 = 425, and azo = 33, 203, 125. 91 can be written as A/B Where A, B, and C are positive whole #'s . Find A + B + C . 9 ) A ball is dropped from a height of 40 feet and bounces back to ' 12 of the height from which it fell after each subsequent bounce . Find the total distance the ball travels , when it hits the ground for the oth time to the nearest hundredth of a foot . 10 ) Real #'s a , b, c form a geometric sequence, have a sum equal to 205, and product equal to 79, 507. What is the sum of the largest and smallest numbers ? 1 1 ) Prove by induction that 12 + 32 + 52 + ... + ( 2n - 1 ) 2 = n( zn- ) (anti ) 3 Base case : Induction steps
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