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in Arithmetic Progression by (44.3k points)
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n के किस मान के लिए, समान्तर श्रेणी 63, 65, 67, … तथा 3, 10, 17,… के n वें पद बराबर हैं?

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दी गई श्रेणी 

63, 65, 67….

अतः an = a + (n – 1)d

an = 63 + (n – 1)2

an = 63 + 2n – 2

an = 61 + 2n …(1)

पुनः श्रेणी 3, 10, 17, ….

अतः an = 3 + (n – 1)7

⇒ an = 3 + 7n – 7

⇒ an = 7n – 4 …(2)

दिया है! दोनों श्रेणीयों में n वें पद बराबर है।

अतः 61 + 2n = 7n – 4

⇒ 5n = 65

⇒ n = 13

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