In an AP- tn denotes nth terms and Sn denotes sum of n terms- If tm-1n and tn-1m- find Smn-

Given, t_m=a+(m 1)d=1n .....(1) t_n=a+(n 1)d=1m ........(2) 1n 1m=a+(m 1)d a (n 1)d m nmn=a+md d a nd+d m nmn=(m n)d ∴ d=1mn From (1) ...

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Sum of n Terms

In an AP, t...

Question

In an AP, $t_{n}$ denotes $n^{t h}$ terms and $S_{n}$ denotes sum of $n$ terms. If $t_{m} = \frac{1}{n}$ and $t_{n} = \frac{1}{m}$ , find $S_{m n}$ .

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If $T_{n} = 78$ , where $T_{n}$ denotes the $n^{t h}$ term the following AP:
3, 8, 13, 18, . . . , then n = ___

If $T_{n} = 78$ , where $T_{n}$ denotes the $n^{t h}$ term the following AP:
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T_{1} = 3

T_{n} = 96

S_{n} = 189

n

T_{n}

S_{n}

n^{t h}

n^{t h}

S_{n} & n^{t h}

t_{n}

S_{n} = n^{3} + 2^{n + 1} \forall n \in N

(t_{5} - t_{3})

T_{r}

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r^{t h}

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T_{n} = \frac{T_{n - 1}}{n^{2}}

T_{m}

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