(C) Let $D$ be the common difference of the $A.P.$Since $a, b, c, d, e$ are in $A.P.$,we can write:$b = a + D$$c = a + 2D$$d = a + 3D$$e = a + 4D$Subs

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(C) Let $D$ be the common difference of the $A.P.$Since $a, b, c, d, e$ are in $A.P.$,we can write:$b = a + D$$c = a + 2D$$d = a + 3D$$e = a + 4D$Substituting these values into the expression $a - 4b + 6c - 4d + e$:$= a - 4(a + D) + 6(a + 2D) - 4(a + 3D) + (a + 4D)$$= a - 4a - 4D + 6a + 12D - 4a - 12D + a + 4D$$= (a - 4a + 6a - 4a + a) + (-4D + 12D - 12D + 4D)$$= (0)a + (0)D$$= 0$

Competitive Quantitative Aptitude Progression and Sequence Progression and Sequence

Easy

If the numbers $a, b, c, d, e$ form an $A.P.$,then the value of $a - 4b + 6c - 4d + e$ is

A
$1$
B
$2$
C
$0$
D
None of these

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The number which should be added to the numbers $2, 14, 62$ so that the resulting numbers may be in $G.P.$ is

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Five numbers are in $A.P.$,whose sum is $25$ and product is $2520$. If one of these five numbers is $-\frac{1}{2}$,then the greatest number amongst them is

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The geometric and harmonic means of two numbers $x_1$ and $x_2$ are $18$ and $16\frac{8}{13}$ respectively. The value of $|x_1 - x_2|$ is

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The product of $n$ positive numbers is unity. Their sum is

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If ${a_1}, {a_2}, \dots, {a_{n+1}}$ are in $A.P.$,then $\frac{1}{{{a_1}{a_2}}} + \frac{1}{{{a_2}{a_3}}} + \dots + \frac{1}{{{a_n}{a_{n+1}}}}$ is

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If the numbers $a, b, c, d, e$ form an $A.P.$,then the value of $a - 4b + 6c - 4d + e$ is

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