CBSEi Class 10 Sequences (AP and GP) CORE

Learning Objectives:
Scope document (Core)
Observe number patterns and guess the next term
Observe geometrical patterns and draw the next in turn
Recognise Arithmetic progression and read its first term and common
difference
Write the nth term or general tem of a given A.P. in the form an = a + (n-1) d,
where ‘a’ is the first term and ‘d’ is the common difference.
Understand that the general term of an A.P. is always a linear expression.
Write the specified term of an A.P. when a, n and d are known
Determine the unknown quantity in the expression an = a + (n-1) d under
given conditions
Recognise Geometric progression and read its first term and common ratio
Write the nth term or general tem of a given G.P. in the form an = ar n-1 , where
a is the first term and r is the common ratio.
Write the specified term of a G.P. when a, n and r are known
Determine the unknown quantity in the expression an = ar n-1 under given
conditions
Understand that sum of first n terms of an A.P. is Sn = [2a + (n-1) d]
Determine the sum of first n terms of an A.P. for specified value of n
a) When a, n and d are known
b) When Sn is known for specified value of n.
Determine the unknown quantity in the expression Sn = [2a + (n-1) d] under
given conditions
Cross-curricular links:
1. Sequences generate the musical notes and hence fill the life with rhythm.
‘Seven Sawar’ in Indian classical music produce around divine vibrations
when all ‘sawar’ are arranged in a sequence in the form of different Ragas .
2