Recent questions tagged arithmetic-series

532
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3 answers
1 votes
If $x,y,z$ are in $A.P.$ and $a>1$, then $a^x, a^y, a^z$ are in$A.P.$$G.P$$H.P$none of these
308
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1 answers
0 votes
If $a,b,c$ are in $A.P.$ , then the straight line $ax+by+c=0$ will always pass through the point whose coordinates are$(1,-2)$$(1,2)$$(-1,2)$$(-1,-2)$
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1 answers
0 votes
If the co-efficient of $p^{th}, (p+1)^{th}$ and $(p+2)^{th}$ terms in the expansion of $(1+x)^n$ are in Arithmetic Progression (A.P.), then which one of the following is ...
2.5k
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3 answers
10 votes
The sum of $n$ terms of the series $4+44+444+ \dots \dots $ is$\frac{4}{81}\left[10^{n+1}-9n-1\right]$$\frac{4}{81}\left[10^{n-1}-9n-1\right]$$\frac{4}{81}\left[10^{n+1}-...
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2 answers
8 votes
How many integers are there between $100$ and $1000$ all of whose digits are even?$60$$80$$100$$90$
379
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1 answers
0 votes
What is the sum of the following series:$$2 + 4+ 6+ 8+ \dots + 94 + 96 + 98 + 100$$$4300$$2000$$3240$$2550$
505
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2 answers
4 votes
The value of the expression $1 - 6 + 2 - 7 + 3 - 8 +$……… to $100$ terms is __________.
4.5k
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4 answers
26 votes
If the list of letters $P$, $R$, $S$, $T$, $U$ is an arithmetic sequence, which of the following are also in arithmetic sequence?$2P, 2R, 2S, 2T, 2U$$P-3, R-3, S-3, T-3, ...
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5 answers
17 votes
What will be the maximum sum of $44, 42, 40, \dots$ ?$502$$504$$506$$500$