Question

what is the sum of odd numbers from 1 to 60​

Answer 1

Answer:

odd numbers 1 to 60

1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49,51,53,55,57,59,

Step-by-step explanation:

1+3+5+7+9+11+13+15+17+19+21+23+25+27+29+31+33+35+37+39+41+43+45+47+49+51+53+55+57+59

anser is 900

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Answer 2

Step-by-step explanation:

1, 3, 5, 7 .. so on

if you look closely it is an arithmetic progressions with common difference(d)=2 and First term = 1,

last odd no before 60 is 59 so 59 will be our last term.

$l = a + (n - 1)d$

Now (l) is last term which we know already also a is first term and d is common difference we know all of this just n is missing so put the value in the formula and find n.

$59 = 1 + (n - 1)2$

$58 = (n - 1)2$

$n - 1 = 58 \div 2$

$n - 1 = 29$

$and \: \: n = 30$

you know number of terms in AP now,

Formula For Sum of AP is,

$s = (n \div 2)((a + l) \div 2)$

$s = (30 \div 2)((1 + 59) \div 2)$

$s = 15(60 \div 2)$

$s = 15 \times 30 \\ = 450$

HOPE IT HELPS,

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