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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:
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:
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):
ስለዚህ, ቀጣዩ ቁጥር 42 ነው። ይህ ደግሞ አማራጭ C) ነው።
The next number in the sequence is . The correct option is C).
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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).