CAMARINES NORTE NATIONAL HIGH SCHOOL Daet, Camarines Norte MATHEMATICS 10 ASSESSMENT Name: __________________________________ Score/Rating _________ Year & Section: ___________________________ Subject: Mathematics 10 REMEMBER Quarter 1-Module 3: Arithmetic Means, Nth Term, and Sum of Arithmetic Sequence In Mathematics, the Objectives: arithmetic mean or simply 1. determine the arithmetic means of the terms of an the mean or average when arithmetic sequence.. the context is clear, is the 2. Find the nth term of an arithmetic sequence. sum of a collection of 3. , Find the sum of the terms of an arithmetic sequence. numbers divided by the count Direction: Read, understand, analyze, interpret and of numbers in the collection. solve if needed. Among the choices of each question, choose and encircle the letter of the An arithmetic correct answer. sequence is a string of numbers where each number 1. If three arithmetic means are inserted between -22 and is the previous number plus a -42, find the second of these arithmetic means. constant, called the common a. -27 b. -32 c. -37 d. -38 difference. To find the common difference we take 2. What is the next term ? 27 36 45 54 any pair of successive a. 61 b. 63 c. 72 d. 81 numbers, and we subtract the th 3. Determine the 12 term of the arithmetic sequence 5, first from the second. 11, 17, 23,… a. 64 b. 70 c. 71 d. 77 4. Find the 15th term of the arithmetic sequence 22, 15, 8, 1,… a. -69 b. -76 c. -83 d. -90 5. What is the sum of all odd integers between 5 and 29? a. 182 b. 187 c. 192 d. 196 Problem solving. Solve and answer the following questions using concept of arithmetic sequence and sum of arithmetic sequence. Write the A famous story provides that this answer at the back of this paper. was the problem given by an elementary school teacher to a 1. It is alarming that many people now are being infected famous mathematician to keep by COVID 19. As the President of the GPTA association him busy. Do you know that he of CNNHS. Mr. Raymundo invited parents to give a five- was able to get the sum within day series of talks on COVID 19 and its prevention every seconds only? Can you beat first Friday of the month form 12 noon to 1 pm in the that? His name was Karl covered court. On the first day, 20 parents came. Friedrich Gauss (1777-1885).
Finding the talk interesting, these 20 parents shared the talk to other parents and 10 more parents came on the second To find the sum of an day, another 10 more students came on the third day, and so arithmetic sequence, on. we can use a. Assuming that the number of participants continues to ????????= ????????(????????+ ????????) increase in the same manner, make a table representing or ????????= ????????[????????????+(????−????)????] the number of participants from day 1 of the talk until day 5. b. Represent the data in the table using a formula. An = unknown/nth term/day, A1 = 1st term/day, n = number of terms/days and d= common difference. c. You feel that there is still a need to extend the series of talks, so you decided to continue it for three more days. If the pattern continues where there are 10 additional parents for each talk, how many parents in all attended the talk on COVID 19? In at least 10 sentences, formulate a reflection regarding the lesson. Refection must contains both significant and un-significant results/impressions. Continue the given beginning phrase to complete your reflection. On this lessons on arithnetic means, finding the nth term and finding the sum of arithmetic sequence, I have learned ______________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ ___________________________ Signature of Student ________________________ Signature of Parent/Guardian Date: __________________