Question

write the value of tenth term of the
sequence
1(1)+2(1+2)+3(1+2+3)+4(1+2+3+4)+...

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The tenth term of the sequence is given by

$a_{10}=10(1+2+3+4+5+6+7+8+9+10)$

Step-by-step explanation:

Given sequence

1(1)+2(1+2)+3(1+2+3)+4(1+2+3+4)+...

From the given sequence

$a_1=1(1)$

$a_2=2(1+2)$

$a_3=3(1+2+3)$

$a_4=4(1+2+3+4)$

$a_5=5(1+2+3+4+5)$

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:

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:

$a_n=n(1+2+3+...+nth term)$

Substitute n=10

$a_{10}=10(1+2+3+4+5+6+7+8+9+10)$

Hence, the tenth term of the sequence is given by

$a_{10}=10(1+2+3+4+5+6+7+8+9+10)$

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