10 If the 11 th term of an AP whose first term is a and common difference is 3

# 10 if the 11 th term of an ap whose first term is a

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common difference and the sum of the first 99 terms. 10. If the 11 th term of an A.P whose first term is a and common difference is 3, is equal to 17 th term of another A.P whose first term is also a and whose common difference is d, find d. If the sum of 20 terms of the first of these arithmetic progressions exceeds by 145 the sum of 14 terms of the second, find the first term. Show also that, if the n th term of the first progression is equal to the Pth term of the second 5p = 3n +2 11. Find a and b such that 7.2, a, b, 3 are inA.P.

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FRIENDS SCHOOL KAMUSINGA KIMILILI GEOMETRIC SEQUENCE AND SERIES (GP) 1. Write down the simplest form of the nth term of the series 24 + 16 + 32 / 3 + 64 / 9 + … 2. The 3 rd term and 6 th term of a G.P are 8 and 64 / 27 respectively. Find the first term, common ratio and 8 th term. 3. p+3, p+8 and p+18 are the 3 rd , 4 th and 5 th terms of a G.P. Find the value of p. Find also the common ratio and the 9 th term of the progression. 4. Find the least possible value of n such that the sum of the first n terms of the G.P with the first term 5 and common ration 2.6 shall exceed 10,000. 5. The 7 th term of a certain G.P is 2½ and the tenth term is -20. Find the sum of the first 5terms of the progression. 6. The sum of the first two terms of a G.P is equal to 12 times the 3 rd term. Calculate the possible values of the common ratio. 7. The sum of the first two terms of a G.P is -4 and the sum of the fourth and fifth terms is 108. Calculate the common ratio and the fourth term. 8. The sum of the first two terms of a G.P is -7.5 and the sum of the first four terms is -127.5 . If the first term of the progression is positive, find the first term and the common difference. 9. Find four numbers between 1 / 8 and 128 which form with 1 / 8 and 128 a G.P. 10. The first term of an increasing A.P is 3. The 3 rd , 6 th and 10 th term form a G.P. Find the common difference of the A.P.
• Fall '18
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