alleryThree positive numbers are consecutive terms of both an AP and a GP. They must be
ADecreasing only
BAll equal
CIncreasing only
DAll different
Answer & Solution
Correct answer: B. All equal
Combining 2b=a+c and b²=ac gives (a−c)²=0, hence all three terms are equal.
Keep practising Arithmetic & Geometric Progressions
Browse all Arithmetic & Geometric Progressions questions for ICSE Class 10, or explore more Mathematics topics.
Related questions
Match each Arithmetic Progression (AP) formula with its quantity:Match each AP selection strategy with the chosen symmetric variables:Match each sequence computation with its evaluated answer:Match each AP sequence with its common difference d:Insert two positive geometric means between 2 and 54. What is the first inserted?A GP starts a,ar,ar² with a,r>0. If a+ar=6 and ar+ar²=18, r equalsAn asset keeps 80% of its value each year. Initially ₹500, its value after 3 years?A ball drops 8 m; each bounce rises half its last fall. Travel through 3 ground hits?