What comes next in the sequence: 2, 6, 12, 20, 30, ?

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Step 1: በተከታታይ ቁጥሮች መካከል ያለውን ልዩነት እንፈልግ። The differences between consecutive terms are: 6 − 2 = 4; 12 − 6 = 6; 20 − 12 = 8; 30 − 20 = 10 Step 2: የልዩነቶቹን ቅደም ተከተል እንመርምር። The differences form a sequence: 4, 6, 8, 10. This is an arithmetic progression where each term increases by 2. Step 3: ቀጣዩን ልዩነት እንፈልግ። Following this pattern, the next difference should be: 10 + 2 = 12 Step 4: በተከታታይ ውስጥ ያለውን ቀጣይ ቁጥር እንፈልግ። To find the next number in the original sequence, add this difference to the last term (30): 30 + 12 = 42 ስለዚህ, ቀጣዩ ቁጥር 42 ነው። ይህ ደግሞ አማራጭ C) ነው። The next number in the sequence is 42. The correct option is C).

What comes next in the sequence: 2, 6, 12, 20, 30, ?

Answer

Step-by-step solution

በተከታታይ ቁጥሮች መካከል ያለውን ልዩነት እንፈልግ።

የልዩነቶቹን ቅደም ተከተል እንመርምር።

ቀጣዩን ልዩነት እንፈልግ።

በተከታታይ ውስጥ ያለውን ቀጣይ ቁጥር እንፈልግ።

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