Question

which of the following are APs?If they form an AP,find the common difference d and write three more terms (i) -10,-6,-2,2.........​

Answer 1

Answer:

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Given series,

➙ -10, -6, -2, 2.....

★ Let the terms be,

• a1 = -10
• a2 = -6
• a3 = -2
• a4 = 2

To find the Common difference (d) ,

⟹ a2 - a1 = -6 - (-10) = - 6 + 10 = 4

⟹ a4 - a3 = 2 - (-2) = 2 + 2 = 4

Therefore the common difference (d) is constant. So r given series is in AP

Next three more terms are a5, a6 & a7

➡ a5 = a + 4d = -10 + 4(4) = -10 + 16 = 6

➡ a6 = a + 5d = -10 + 5(4) = -10 + 20 = 10

➡ a7 = a + 6d = -10 + 6(4) = -10 + 24 = 14

Therefore, the next three terms are 6,10,14...

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Step-by-step explanation:

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Answer 2

Answer:

6

Step-by-step explanation:

10

14

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