Question

find the sum of the following A.P.S -37,-33,-29.....to 12 terms​

Answer 1

Answer:

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Give AP series,

⟹ AP : - 37, - 33, - 29 .....

• a1 = - 37
• a2 = - 33

Common difference (d) = a2 - a1

➙ -33 - (-37) =

➙ -33 + 37

➙ 4

Common difference (d) = 4

Now we have the terms,

• a = -37
• d = 4
• n = 12
• Sn = ?

Sn = n/2 [ 2a + (n - 1) d ]

➡ S12 = 12/2 [ 2(-37) + (12 - 1) 4 ]

➡ S12 = 6 [ - 74 + (11) 4 ]

➡ S12 = 6 [ -74 + 44 ]

➡ S12 = 6 [ -30 ]

➡ S12 = -180

Hence, the sum of the AP of the 12 terms is -180

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Step-by-step explanation:

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Answer 2

Answer:

-180

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