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Arithmetic Progressions

Short Answer Type

11.

Write first four terms of the AP, when the first term a and the common difference d are given as follows:

a = – 1.25, d = – 0.25

205 Views

12.

For the following APs, write the first term and the common difference
3, 1, – 1, – 3, . . .

253 Views

13.

For the following APs, write the first term and the common difference
– 5, – 1, 3, 7, . . .

165 Views

14.

For the following APs, write the first term and the common difference

$1 third comma space 5 over 3 comma space 9 over 3 comma space 13 over 3 comma space space.......$

92 Views

15.

For the following APs, write the first term and the common difference
0.6, 1.7, 2.8, 3.9, . . .

155 Views

16.

Which of the following are APs ? If they form an AP, find the common difference d and write three more terms.
2, 4, 8, 16, . . .

125 Views

17.

Which of the following are APs ? If they form an AP, find the common difference d and write three more terms.

$2 comma space 5 over 2 comma space 3 comma space 7 over 2 comma....$

104 Views

18.
Which of the following are APs ? If they form an AP, find the common difference d and write three more terms.
– 1.2, – 3.2, – 5.2, – 7.2, . . .

–1.2, –3.2, –5.2, –7.2
a₂ – a₄ = –3.2 – (–1.2)
= –3.2 + 1.2
= –2.0
a₃ – a₂ = –5.2 – (–3.2)
= –5.2 + 3.2
= –2.0
a₃ – a₄= –7.2 – (–5.2)
= –7.2 + 5.2
= –2.0
i.e., a_k+1 – a_k is the same every time. So, the given list of numbers forms an A .P. with the common difference d = – 2.0
The next three terms are :
– 7.2 + (–2.0) = –9.2
–9.2 + (–2.0) = –11.2
and –11.2 + (–2.0) = –13.2

156 Views

19.

Which of the following are APs ? If they form an AP, find the common difference d and write three more terms.
–10, –6, –2, 2, ....

116 Views

20.

Which of the following are APs ? If they form an AP, find the common difference d and write three more terms.
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