Question

write the 11th term of the Arithmetic sequence 1,25,49,.... Options :221,
231,
241,
251
​

Answer 1

Answer:

the answer is given in the pic and the option is C

Answer 2

GivEn:-

• AP = 1,25,49,.....

To find:-

• 11th term of AP

SoluTion:-

We have,

✩ AP = 1,25,49,....

Therefore,

• First term (a) = 1

• Common difference (d) = 25 - 1 = 24

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✇ Now, We have to find 11th term of AP -

As we know that,

${\underline{\boxed{\bf{ a_n = a + (n - 1)d}}}}$

Here,

★ n = 11

✇ Now, Put the givEn values -

$\dashrightarrow\sf a_{11} = 1 + (11 - 1)24\\\\ \dashrightarrow\sf a_{11} = 1 + 10 \times 24\\\\ \dashrightarrow\sf a_{11} = 1 + 240\\\\ \dashrightarrow {\underline{\boxed{\sf{\red{a_{11} = 241}}}}}$

$\sf \therefore\; \underline{11^{th}\;term\;( a_{11} )\;of\;the\;given\;AP\;is\; \bf{241}}$

$\sf \dag\;{\underline{\purple{Hence,\;3rd\;option\;is\; correct.}}}$

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