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CBSEi Class 10 Sequences (AP and GP) CORE

CBSEi Class 10 Sequences (AP and GP) CORE

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Student’s Worksheet 7<br />

Content Worksheet (CW2) – Recognising an A.P.<br />

Name of Student _____________________ Date___________<br />

1. Check which of the following sequences is an A.P. Justify your answer.<br />

a) 12, 14, 16, 18, ......<br />

Here, a1 =.............<br />

a2 =............<br />

a2 - a1 =.............<br />

a3 =............<br />

a3 – a2 =.............<br />

Is a2 - a1 = a3 – a2 ?<br />

What do you conclude?<br />

_________________________________<br />

b) -4, -7, -<strong>10</strong>, -13, ......<br />

Here, a1 =.............<br />

a2 =............<br />

a2 - a1 =.............<br />

a3 =............<br />

a3 – a2 =.............<br />

Is a2 - a1 = a3 – a2 ?<br />

What do you conclude?<br />

__________________________________<br />

80<br />

Here, a1 =.............<br />

a2 - a1 =.............<br />

d =............<br />

an = a1 + (n-1)d<br />

=<br />

=<br />

an-1 =<br />

=<br />

Is an – an-1 free from n ?<br />

What do you conclude?<br />

_________________________________<br />

Here, a1 =.............<br />

a2 - a1 =.............<br />

d =............<br />

an = a1 + (n-1)d<br />

=<br />

=<br />

an-1 =<br />

=<br />

Is an – an-1 free from n ?<br />

What do you conclude?<br />

_________________________________

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