A. ARITHMETIC SEQUENCE Solve the following $r0blcm\right)s$ 1.The arithmetic mean between two terms in an arithmetic sequence $s39.1fon$ of these terms is 32, find the other term. 2. If five arithmetic means are inserted $oct0yccn=9$ and 9, what is the third 3. What are the first and last terms of an arithmetic sequence when its $rdmcan7$ $anthmetic$ means are 35, 15 and -5? 4. Find the value of x if the arithmetic mean $of3and3x+5is8$ 5. Find the value of a when the arithmetic mean $ofa+7anda+3is3a+$ +9. GEOMETRIC SEQUENCE B. Solve the following $0r0blcms$ 15,.....? 1. What is the 5 term of the geometric sequence $e3\sqrt{20,3/2,15} $ 2. Find the sixth term of a geometric sequence where the second term is 6 and the common ratio is 2. 3. The geometric mean between the first two terms in a geometric sequence is 32. If the third term is 4, find the first term, 4. Three positive numbers form a geometric sequence. If the geometric mean of the first two numbers is 6 and the geometric mean of the last two numbers is 24, find the three numbers and their common ratio. 5. Find the sum of the terms of a geometric sequence where the first term is 4, the last term is 324 and the common ratio is 3. C. DIVISION OF POLYNOMIALS Solve the following $pr0blcms$ 1. The side of a square $otis\left(5x-3\right)n$ meters. How many meters of fencing materials are needed to enclose the square lot? If one square meter of the lot costs Ph 15,000, what is the cost of the square lot? 2. A $ectangula1$ garden in a backyard has an area $of\left(3x^{2}+5x-6\right)$ square meters. Its width is (x $+2\right)metcrs$ a. Find the length of the garden b. You $dccidc$ to partition the garden into two or more smaller congruent $2ardcns$ Design a $p0ssib|$ $0$ model and include mathematical concepts in your design. 3. $1fr=2x^{3}+4x^{2}-x-6a$ and $s=x-2$ What is r/s ?

Write the corresponding letter of your chosen answer in the space provided. 1. A sequence where each term after the other is obtained by adding A. Harmonic Sequence B. Fibonacci Sequence C. Geometric tSSheee qqthsauue eemnnpcce re e eccoendsDDitna. . g nAAttrr. eiittrhhm mmbeey ttiitc c hSSe eseqqamuueene ncce e 2. A sequence where each term after the first is obtained by multiplying constant. A. Harmonic Sequence B. Fibonacci Sequence C. Geometric 3. What is the next term in the sequence 5, -10, 20, -40? A. 160 B. 80 C. -80 D. 60 4. Which of the following is an example of an arithmetic sequence? 5 5 5 A. 10, 7, 4, 1 $B.1,2,4,8$ C6. 25, $125,25,5$ D. 2'3'41 5. Find the common difference in the arithmetic sequence $27,23,19,15,....-1$ A. 4 B. 1 C. -4 D. 7 6. Which of the following is an example of a geometric sequence? 4'2'4' 1 C. - 7 7 77 D. 1, 1, 2, 3 $A.$ $1,3,9,27$ B. 1 1 3 2'4'6'8 7. $Mhichofthe$ following is an example of a Fibonacci sequence? $A.$ $1,3,9,27$ $B.\dfrac {1} {4},\dfrac {1} {2},\dfrac {3} {4}$ $the15^{h}ter$ t1 er3 m 1 of C. 27 '47'76' 7 8 D. 1, 1, 2, 3 8. Which of the following is the arithmetic sequence $-5,-3,-1,1,...7$ A. 29 B. 27 C. 25 D. 23 9. If three arithmetic means are inserted between 11 and 39, find the second arithmetic mean. A. 18 B. 25 C. 32 D. 46 10. If three geometric means are inserted between 1 and 256, what is the third geometric mean? A. 64 B. 32 C. 16 D. 4 11. What $isthene\times t$ term of the harmonic ..? A. 27 B. 25 $se9uence\dfrac {1} {11},\dfrac {1} {15},\dfrac {1} {19}'^{\dfrac {1} {23}}$ $c.\dfrac {1} {25}$ $4$ $1$ $2$ $-5$ $1s-297$ D. 12. Which term of the arithmetic $se9uence4,1,-2,-5,...15$ A. 9th term B. 10th term C. 11th term D. 12th term 13. What is the 6th term of the geometric $se9uence\dfrac {2} {25},\dfrac {2} {5},2,10,..7$ A. 25 B. 250 C. 1250 D. 2500 14. The first term of an arithmetic sequence $s2whi1ethe18^{th}$ term is 87. What is the common difference of the sequence? 7 B. 6 D. 3 1A5. . Which of the following is the sum of all the $c.5$ $mutiplesof3from15t048$ $c.378$ 315 B. 360 D. 396 1A6. . Glenn bought a car for Php600,000. The yearly depreciation of his $carls1096of$ its value at the start of the year. What is the value after 4 years? A. Php437,400 B. $Php438,000$ C. Php393,660 D. Php378,000 _17. During a free-fall, a skydiver jumps 16 feet, 48 feet, and 80 feet on the first, second, and third fall, $espectiNeV$ If he continues at this rate, how many feet will he have jumped during the tenth fall? 304 B. 336 C. 314 928 D. 944 784 A18. . Twelve days before $ya|entlne$ day, Carl decided to give Nicole flowers according to Fibonacci sequence. On the first day, he sent one red rose, on the second day, two red roses, and so on. How many roses did Nicole receive on the 1oth day? A. 10 B. 55 C. 89 D. 144 --END-

a) $s55f^{+}$ $b>575++$ $c\right)775f^{+}$ IRECTIONS $D0$ each of the following.write your complete $s0|w+10$ $-1\leq \right)$ Find the qth term of the arithmetic sequen ce $w+h$ a, $1=10$ $anαd=$ $d=-1/2$ $|$ ) The arithmetic mean beetwen two terms $10$ $Ca$ arithme tic sequence $1s$ $39$ $1f$ one of these terms $1n$ $32,$ find the other term