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A 3rd grade student intends to improve his/hermathematics knowledge over 15 days. He/She will dotwo additional exercises every day. If the starting point was 1 exercise, a) How many exercices have to be done on day 15? b) How many exercises will be totally done? In a Geometric Progression, the 6th term equals 10,5and the ratio of the series is 0,5. Calculate the 1st termand the sum of the first 12 term a1= S∞= All three angles of a triangle are related under arithmetic progression. If the largest equals 105º, calculate the remaining two angles. Smallest angle Intermediate angle In an arithmetic progression a2=1 and a5=7. Find the general term (simplify) and the sum of the first 15 terms an = S15 = A certain neighborhood got the gas installed in 1999.Considering that the first maintenance inspection tookplace in that moment (1999) and knowing thatinspections take place every three years, ¿When will the 10th inspection take place? ¿Which inspection number is going be done in 2035? A geometric progression gets a1=3 and a4=24. Calculate the ration and the sumof the first 8 terms. ratio = S8 = The 3rd term of a geometric progression equals 80 while the ratio equals 4. Calculate the sum of the first 6 terms. S6 = The 2nd term and the ratio of a geometric progression equal 6 and 1/2 respectively. Calculate the sum of all terms. Calculate the sum of all terms of the following series.: 15; 3 ; 0,6 ; 0,12 ; 0,024 ; .......... S = The population of a country grows at 1% every year. Knowing that the population is currently 3 millions, How many inhabitants will be living in this country in 10 years? And in 20 years? |