numbers and patterns

We have seen the application of matrices and determinants in solving system of linear equation with three unknown variables. Matrices and determinants are also widely used in solving large system of linear equation. Some of these methods are Gauss-elimination method, Gauss-Jordan method etc. They a..

Factorisation of trinomials of the form x 2 +bx+c Trinomials are expressions with three terms. For example, x 2 + 14x + 49 is a trinomial. There is no single method by which all trinomials can be factorised. We need to study the pattern in trinomials and choose the appropriate metho..

Let us consider the marks obtained by four students in Physics, Chemistry and Biology for the first unit test. We have represented the data in rows and columns. (i) Rows show the marks obtained by each student. (ii) The columns show the marks in Physics, Chemistry, Biology obtained by each student...

. Pascal's triangle The coefficients of various terms in (a+b) n for different values of n follows the pattern given below: General term For 0 < r < n, T r+1 in the expression of (a + b) n is given by T r+1 = n C r a n-r b r . (r + 1) t h term at the end in the expansion of (a+b) n ..

Choose the number of pattern blocks. => 6 or 7 or 5 or 8..

Which three numbers complete the number pattern? => 14, 17, 20 or 13, 15, 17 or 12, 13, 14 or 12, 14, 17..

Select the number pattern for the figure pattern. => 5, 8, 11, ... or 5, 10, 15, ... or 1, 2, 3, ... or 20, 15, 10 .....

Choose the number pattern for the figure pattern. => 8, 4, 12, 16... or 8, 12, 4, 16... or 4, 8, 12, 16... or 4, 8, 16, 12,....

Which number completes the pattern? => 56 or 54 or 53 or 55..

Which two numbers completes the pattern? => 23, 27 or 24, 26 or 23, 26 or 24, 25..