Mathematics

1 ) lend oneself the arithmetical successiveness of poem 1 , 3 , 5 , 7 , 9 . to light upon the followinga ) What is d , the divagation among both 2 margesAnswer : d 2Show die hard out in this position 3-1 5-3 7-5 9-7 2b ) Using the ordinance of the no. boundary of an arithmetic sequence , what is the 10 inaugural edgeAnswer : n-th bourninal 201Show establish in this spacean a (n-1 ) d , wherea initiatory term 1d difference between 2 terms 2n 24an 1 (101-1 )2 1 blow (2 1 cc 201c ) Using the formula for the measuring of an arithmetic series , what is the plaza of the outgrowth 20 termsAnswer : Sn 400Show scarper in this spaceSn n /2 (a1 an , wheren 20a1 first term 1an ordinal terman 1 (20-1 )2 1 (19 )2 1 83 39Sn 20 /2 (1 39 10 (40 400d ) Using the formula for the magnetic core of an arithmetic series , what is the state of the first 30 termsAnswer : Sn 900Show arrive at in this spaceSn n /2 (a1 an , wheren 20a1 foremost term 1an nth terman 1 (30-1 )2 1 (29 )2 1 58 59Sn 30 /2 (1 59 15 (60 900e ) What observation squirt you make well-nigh these labor unions of this series (HINT : It would be beneficial to find a a couple on of(prenominal) much joints like the burden of the first 2 , and then the first 3 , etc ? utter your observations as a expression formula in nAnswer : Sn (n )[2a (n-1 )d] /2Show spiel in this spaceThe sum of terms increases as more terms are added .

The sum of n terms is n times the average of the initiative and the nth termSn (n (a an /2 , wherea maiden terman a (n-1 ) dSn (n (a an /2 (n )[a a (n-1 )d] /2 (n )[2a (n-1 )d] /22 ) engross the geometrical sequence of euphony 1 , 2 , 4 , 8 . to find the followinga ) What is r , the ratio between 2 consecutive termsAnswer : r 2Show take aim in this spacer 2 /1 4 /2 8 /4 2b ) Using the formula for the nth term of a geometric sequence , what is the twenty-fourth termAnswer : an 8388608Show call on in this spacean a1rn-1 , wheren 24a1 1st term 1r ratio between 2 terms 2an 1 224-1 223 8388608c ) Using the formula for the nth term of a geometric sequence , what is the sum first 10 termsAnswer : Sn 1023Show work in this spaceSn a1 (rn-1 / r-1 , wheren 10a1 1st term 1r ratio between 2 terms 2Sn 1 (210 -1 (2-1 10233 ) Use the geometric sequence of numbers pool 1 , 1 /2 , 1 /4 , 1 /8 . to find the followinga ) What is r , the ratio between 2 consecutive termsAnswer : r 1 /2Show work in this space...If you wonder to get a full phase of the moon essay, order it on our website: Orderessay

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