Infinite geometric series + addition - practice problems
Number of problems found: 14
- Geometric series
How many terms of the geometric series 8+4+2+1+0.5+... must be taken for the sum to get within 10 to the power minus 4 of its sum to infinity? - Determine 81988
Determine s5 of the geometric sequence if: a1 + a2 = 10 and a4 - a2 = 120 - Triangular 81985
Trainees stand on the marks in rows exactly 1.5 m apart. They form an expanding triangular wedge (in each subsequent row, there is one more exerciser), while the distance between the front exerciser and the back row is 30 m. Determine the number of traine - Quantities 60183
Determine the remaining quantities in the finite geometric sequence, given: n = 4, an = 12.5, sn = 187.5, a1 = ?, q =? - Remainder 34441
Find the remainder after division when we divide the sum of 1! +2! +3! +. ... . +300! number 13. - Infinite sum of areas
An equilateral triangle A1B1C1 is constructed above the height of the equilateral triangle ABC is constructed as. Above the height of the equilateral triangle A1B1C1 is built triangle A2B2C2, and so on. The procedure is repeated continuously. What is the - Equation 6738
Solve the given equation in the set N: 1 - x + x² - x³ + x4 - x5 +…. + = 1/3 - Determine 4113
Determine the sum of an infinite series: 1/3 + 1/9 + 1/27 + 1/81 ... - Series and sequences
Find a fraction equivalent to the recurring decimal. 0.435643564356 - Miraculous tree
The miraculous tree grows so fast that the first day increases its height by half the total height of the second day by the third, the third day by a quarter, etc. How many times will it increase its height after 6 days? - Saving per cents
The first day I saved 1 cent and every following day a cent more. How many do I save in one year (365 days)? - Decimal to fraction
Write the decimal number 8.638333333 as a fraction A/B in the basic form. Given decimal has infinite repeating figures. - Fraction
Fraction frac(0, overline(38))(0,38) write as fraction a/b, a, b is integers numerator/denominator. - Recursion squares
In the square, ABCD has inscribed a square so that its vertices lie at the centers of the sides of the square ABCD. The procedure of inscribing the square is repeated this way. The side length of the square ABCD is a = 16 cm. Calculate: a) the sum of peri
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