Question

odd numbers between 1 to 348
Find Tn and Sn.

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Answer 1

Answer:

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Step-by-step explanation:

The even numbers between 1 and 350 are 2, 4, 6,…, 348. The above sequence is an A.P. ∴ a = 2, d = 4 – 2 = 2, tn = 348  Since, tn = a + (n – 1)d  ∴ 348 = 2 + (n – 1)2  ∴ 348 – 2 = (n – 1)2  ∴ 346 = (n – 1)2  ∴ n – 1 = 346/2 ∴ n – 1 = 173  ∴ n = 173 + 1 = 174  Now, Sn = n/2 [2a + (n – 1)d]  ∴ S174 = 174/2  [2 (2) + (174 – 1)2]  = 87(4 + 173 × 2)  = 87(4 + 346)  = 87 × 350  ∴ S174 = 30450  ∴ The sum of all even numbers between 1 and 350 is 30450.Read more on Sarthaks.com - https://www.sarthaks.com/845183/find-the-sum-of-all-even-numbers-between-1-and-350

Answer 2

Answer:

Tn= 2n-1, Sn= 33,408

Step-by-step explanation:

here last term is 347 and common difference is 2

then,

T= a + (n-1)d

347 = 1 + (n-1)2

347= 1 + 2n -2

347= 2n - 1

347+1= 2n

n = 348/2

n = 174

Tn= 1+(n-1)2

Tn= 2n-1 Ans.

and

Sn= n/2 × (a+l)

Sn= 174/2 × ( 1 + 347)

Sn= 87×348

Sn = 33,408

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