hi i'm teacher daisy now let's learn form two chapter one patterns and sequences in this chapter you will learn 1.1 patterns 1.2 sequences and 1.3 patterns and sequences first we go to 1.1 patterns patterns our list of numbers or objects arranged based on a rule or design recognizing number patterns example draw the next object state its pattern a the pattern is add two dots to the previous object b the pattern is at a triangle to the previous object exercise determine the patterns for the following solution a the pattern is add 6 to the previous number b the pattern is subtract 10 from the previous number c the pattern is multiplied the previous number by three d the pattern is divide the previous number by three e the pattern is add half to the previous number f the pattern is subtract 0.3 from the previous number example even in odd numbers given a series of numbers 7 12 17 22 27 67 identify and state the pattern for the sequence of one odd numbers two even numbers solution write down all the numbers in the sequence 7 12 17 22 27 32 37 42 47 52 57 62 67 1 the odd numbers are 7 17 27 37 47 57 and 67 the pattern is these odd numbers were obtained by adding 10 to the previous number 2 the even numbers are 12 22 32 42 52 and 62. the pattern is these even numbers were obtained by adding 10 to the previous number example pascal's triangle to build the triangle start with one at the top then continue placing numbers below within a triangular pattern each number is the numbers directly above it added together there are some patterns can be found pattern 1 sequence one two three four five six pattern add one pattern two sequence one three six ten fifteen pattern add 2 3 4 5 exercise complete the pascal's triangle below the answer is as follow example fibonacci numbers fibonacci numbers are a pattern of numbers in a sequence this sequence starts with 0 1 1 and the next term is obtained by adding the previous two terms exercise complete the number sequence below the answer is as follow now let's go to 1.2 sequences sequence is a set of numbers or objects arranged according to a certain pattern patterns of a sequence example one determine whether each set of numbers is a sequence a the pattern is at four therefore the set of members is a sequence b there is no pattern therefore the set of members is not a sequence example 2 complete the number sequences below the answer is as follow example 3 complete number sequences below based on the given pattern a subtract 4 from the previous number b multiply the previous number by three c subtract eight from the previous number d divide the previous number by five the answer is as follow pattern of a sequence using numbers words and algebraic expressions example describe the pattern for the number sequence 1 9 17 25 33 by using numbers words in algebraic expressions solution numbers therefore the pattern is plus eight words therefore the pattern for the above sequences add eight to the previous number algebraic expressions one plus eight n where n equals zero one two three next let us go to 1.3 patterns and sequences terms of the sequence the n term in a number sequence is written as t n whereby t is the term and n is the position of the term example 1 in a sequence 4 8 12 16 4 is d1 8 is t2 12 is t3 and 16 is t4 example 2 state the fifth term for the following number sequence solution step 1 determine the pattern for the number sequence the pattern is add 8 to the previous number step 2 list down the first five terms as shown below t1 is 2 t2 is 10 t3 is 18 t4 is 26 and t5 is 34. hence the fifth term is 34. example 3 given the number sequence 65 60 55 50 determine which term in the number sequence is 40. solutions step 1 determine the pattern for the number sequence pattern subtract 5 from the previous number step 2 list down the first five terms as shown below t1 is 65 t2 is 60 t3 is 55 t4 is 50 t5 is 45 t6 is 40 hence 40 is the sixth term if you find this video helpful don't forget to like share and subscribe our channel and if you got any question can comment below thanks for watching