Q. 24.5( 52 Votes )

Use the given algebraic expression to complete the table of number patterns.

Class 7th NCERT Mathematics 12. Algebraic Expressions

Answer :

(i)Expression = 2n - 1

100^th term (i.e. n = 100)

= 2(100) - 1

= 200 - 1

= 199

(ii)Expression = 3n + 2

5^th term( i.e. n = 5)

= 3(5) + 2

= 15 + 2

= 17

10^th terms(i.e.. n =10)

=3(10) + 2

=30 + 2

= 32

100^th term( i.e. n = 100)

=3(100) + 2

= 300 + 2

= 302

(iii)Expression = 4n + 1

5^th term( i.e. n = 5)

= 4(5) + 1

= 20 + 1

= 21

10^th terms(i.e.. n =10)

=4(10) + 1

=40 + 1

= 41

100^th term( i.e. n = 100)

=4(100) + 1

= 400 + 1

= 401

(iv)Expression = 7n + 20

5^th term( i.e. n = 5)

= 7(5) + 20

= 35 + 20

= 55

10^th terms(i.e.. n =10)

=7(10) + 20

=70 + 20

= 90

100^th term( i.e. n = 100)

=7(100) + 20

= 700 + 20

= 720

(v)Expression = n² + 1

5^th term( i.e. n = 5)

= (5)² + 1

= 25 + 1

= 26

10^th terms(i.e.. n =10)

=(10)² + 1

=100 + 1

= 101

So the Table is

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

PREVIOUSObserve the patterns of digits made from line segments of equal length. You will find such segmented digits on the display of electronic watches or calculators.(a) (b) (c) If the number of digits formed is taken to be n, the number of segments required to form n digits is given by the algebraic expression appearing on the right of each pattern.How many segments are required to form 5, 10, 100 digits of the kind

RELATED QUESTIONS :

Use the given algebraic expression to complete the table of number patterns.

NCERT Mathematics

Observe the patterns of digits made from line segments of equal length. You will find such segmented digits on the display of electronic watches or calculators.

(a)

(b)

(c)

If the number of digits formed is taken to be n, the number of segments required to form n digits is given by the algebraic expression appearing on the right of each pattern.

How many segments are required to form 5, 10, 100 digits of the kind

NCERT Mathematics

Write the coefficient of x2 in the following:

(i) x² – x + 4

(ii) x³ – 2x² + 3x + 1

(iii) 1 + 2x + 3x² + 4x³

(iv) y + y²x + y³x² + y⁴x³

NCERT - Exemplar Mathematics

Find the numerical coefficient of each of the terms:

(i) x³y²z, xy²z³, –3xy²z³, 5x³y²z, –7x²y²z²

(ii) 10xyz, –7xy²z, –9xyz, 2xy²z, 2x²y²z²

NCERT - Exemplar Mathematics

State whether the statements given are True or False.

In like terms, the numerical coefficients should also be the same.

NCERT - Exemplar Mathematics

Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial.

(a) 3x²yz² – 3xy²z + x²yz² + 7xy²z

(b) x⁴ + 3x³y+3x²y²–3x³y–3xy³+y⁴– 3x²y²

(d) 2a + 2b+2c–2a–2b–2c – 2b + 2c + 2a

(e) 50x³ – 21x + 107 + 41x³ – x + 1 – 93 + 71x–31x³

NCERT - Exemplar Mathematics

State whether the statements given are True or False.

5a and 5b are unlike terms.

NCERT - Exemplar Mathematics

State whether the statements given are True or False.

4p is the numerical coefficient of q² in – 4pq².

NCERT - Exemplar Mathematics

State whether the statements given are True or False.

In like terms, variables and their powers are the same.

NCERT - Exemplar Mathematics

Translate each of the following algebraic expressions

NCERT - Exemplar Mathematics